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Finding the Fourth Proportional to 6,565.26, 9,852.15 and 3,930.78

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Solution

The fourth proportional to 6,565.26, 9,852.15 and 3,930.78 is: 5,898.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.26 : 9,852.15 = 3,930.78 : x
  2. Step 2: Convert to fraction form
    6,565.26/9,852.15 = 3,930.78/x
  3. Step 3: Cross multiply
    6,565.26x = 9,852.15 × 3,930.78
  4. Step 4: Simplify right side
    6,565.26x = 38,726,634.18
  5. Step 5: Solve for x
    x = 38,726,634.18/6,565.26
  6. Step 6: Final answer
    x = 5,898.72

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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.