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Finding the Fourth Proportional to 9,487.80, 13,098.24 and 6,349.32

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Solution

The fourth proportional to 9,487.80, 13,098.24 and 6,349.32 is: 8,765.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.80 : 13,098.24 = 6,349.32 : x
  2. Step 2: Convert to fraction form
    9,487.80/13,098.24 = 6,349.32/x
  3. Step 3: Cross multiply
    9,487.80x = 13,098.24 × 6,349.32
  4. Step 4: Simplify right side
    9,487.80x = 83,164,917.20
  5. Step 5: Solve for x
    x = 83,164,917.20/9,487.80
  6. Step 6: Final answer
    x = 8,765.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.