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Finding the Fourth Proportional to 9,149.29, 12,621.14 and 5,565.34

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Solution

The fourth proportional to 9,149.29, 12,621.14 and 5,565.34 is: 7,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.29 : 12,621.14 = 5,565.34 : x
  2. Step 2: Convert to fraction form
    9,149.29/12,621.14 = 5,565.34/x
  3. Step 3: Cross multiply
    9,149.29x = 12,621.14 × 5,565.34
  4. Step 4: Simplify right side
    9,149.29x = 70,240,930.27
  5. Step 5: Solve for x
    x = 70,240,930.27/9,149.29
  6. Step 6: Final answer
    x = 7,677.20

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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.