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Finding the Fourth Proportional to 9,779,907.60, 14,669,861.40 and 7,764,368.40

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Solution

The fourth proportional to 9,779,907.60, 14,669,861.40 and 7,764,368.40 is: 11,646,552.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779,907.60 : 14,669,861.40 = 7,764,368.40 : x
  2. Step 2: Convert to fraction form
    9,779,907.60/14,669,861.40 = 7,764,368.40/x
  3. Step 3: Cross multiply
    9,779,907.60x = 14,669,861.40 × 7,764,368.40
  4. Step 4: Simplify right side
    9,779,907.60x = 113,902,208,286,539.77
  5. Step 5: Solve for x
    x = 113,902,208,286,539.77/9,779,907.60
  6. Step 6: Final answer
    x = 11,646,552.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.