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Finding the Fourth Proportional to 7,132.08, 9,842.10 and 3,945.30

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Solution

The fourth proportional to 7,132.08, 9,842.10 and 3,945.30 is: 5,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.08 : 9,842.10 = 3,945.30 : x
  2. Step 2: Convert to fraction form
    7,132.08/9,842.10 = 3,945.30/x
  3. Step 3: Cross multiply
    7,132.08x = 9,842.10 × 3,945.30
  4. Step 4: Simplify right side
    7,132.08x = 38,830,037.13
  5. Step 5: Solve for x
    x = 38,830,037.13/7,132.08
  6. Step 6: Final answer
    x = 5,444.42

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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.