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Finding the Fourth Proportional to 6,617.81, 9,132.88 and 3,965.16

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Solution

The fourth proportional to 6,617.81, 9,132.88 and 3,965.16 is: 5,472.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.81 : 9,132.88 = 3,965.16 : x
  2. Step 2: Convert to fraction form
    6,617.81/9,132.88 = 3,965.16/x
  3. Step 3: Cross multiply
    6,617.81x = 9,132.88 × 3,965.16
  4. Step 4: Simplify right side
    6,617.81x = 36,213,337.67
  5. Step 5: Solve for x
    x = 36,213,337.67/6,617.81
  6. Step 6: Final answer
    x = 5,472.10

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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.