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Finding the Fourth Proportional to 9,347,202.40, 14,019,766.80 and 7,661,365.60

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Solution

The fourth proportional to 9,347,202.40, 14,019,766.80 and 7,661,365.60 is: 11,491,198.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,347,202.40 : 14,019,766.80 = 7,661,365.60 : x
  2. Step 2: Convert to fraction form
    9,347,202.40/14,019,766.80 = 7,661,365.60/x
  3. Step 3: Cross multiply
    9,347,202.40x = 14,019,766.80 × 7,661,365.60
  4. Step 4: Simplify right side
    9,347,202.40x = 107,410,559,081,542.08
  5. Step 5: Solve for x
    x = 107,410,559,081,542.08/9,347,202.40
  6. Step 6: Final answer
    x = 11,491,198.59

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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.