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Finding the Fourth Proportional to 9,779.14, 14,674.86 and 4,849.06

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Solution

The fourth proportional to 9,779.14, 14,674.86 and 4,849.06 is: 7,276.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,779.14 : 14,674.86 = 4,849.06 : x
  2. Step 2: Convert to fraction form
    9,779.14/14,674.86 = 4,849.06/x
  3. Step 3: Cross multiply
    9,779.14x = 14,674.86 × 4,849.06
  4. Step 4: Simplify right side
    9,779.14x = 71,159,276.63
  5. Step 5: Solve for x
    x = 71,159,276.63/9,779.14
  6. Step 6: Final answer
    x = 7,276.64

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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.