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Finding the Fourth Proportional to 6,147.58, 9,229.14 and 5,120.15

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Solution

The fourth proportional to 6,147.58, 9,229.14 and 5,120.15 is: 7,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.58 : 9,229.14 = 5,120.15 : x
  2. Step 2: Convert to fraction form
    6,147.58/9,229.14 = 5,120.15/x
  3. Step 3: Cross multiply
    6,147.58x = 9,229.14 × 5,120.15
  4. Step 4: Simplify right side
    6,147.58x = 47,254,581.17
  5. Step 5: Solve for x
    x = 47,254,581.17/6,147.58
  6. Step 6: Final answer
    x = 7,686.70

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