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Finding the Fourth Proportional to 6,565.01, 9,061.18 and 4,174.52

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Solution

The fourth proportional to 6,565.01, 9,061.18 and 4,174.52 is: 5,761.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.01 : 9,061.18 = 4,174.52 : x
  2. Step 2: Convert to fraction form
    6,565.01/9,061.18 = 4,174.52/x
  3. Step 3: Cross multiply
    6,565.01x = 9,061.18 × 4,174.52
  4. Step 4: Simplify right side
    6,565.01x = 37,826,089.35
  5. Step 5: Solve for x
    x = 37,826,089.35/6,565.01
  6. Step 6: Final answer
    x = 5,761.77

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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.