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Finding the Fourth Proportional to 6,565.11, 9,809.22 and 6,335.43

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Solution

The fourth proportional to 6,565.11, 9,809.22 and 6,335.43 is: 9,466.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,565.11 : 9,809.22 = 6,335.43 : x
  2. Step 2: Convert to fraction form
    6,565.11/9,809.22 = 6,335.43/x
  3. Step 3: Cross multiply
    6,565.11x = 9,809.22 × 6,335.43
  4. Step 4: Simplify right side
    6,565.11x = 62,145,626.66
  5. Step 5: Solve for x
    x = 62,145,626.66/6,565.11
  6. Step 6: Final answer
    x = 9,466.04

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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.