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Finding the Fourth Proportional to 6,411.72, 9,565.32 and 6,248.91

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Solution

The fourth proportional to 6,411.72, 9,565.32 and 6,248.91 is: 9,322.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.72 : 9,565.32 = 6,248.91 : x
  2. Step 2: Convert to fraction form
    6,411.72/9,565.32 = 6,248.91/x
  3. Step 3: Cross multiply
    6,411.72x = 9,565.32 × 6,248.91
  4. Step 4: Simplify right side
    6,411.72x = 59,772,823.80
  5. Step 5: Solve for x
    x = 59,772,823.80/6,411.72
  6. Step 6: Final answer
    x = 9,322.43

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.