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Finding the Fourth Proportional to 6,472.62, 8,931.42 and 3,639.60

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Solution

The fourth proportional to 6,472.62, 8,931.42 and 3,639.60 is: 5,022.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,472.62 : 8,931.42 = 3,639.60 : x
  2. Step 2: Convert to fraction form
    6,472.62/8,931.42 = 3,639.60/x
  3. Step 3: Cross multiply
    6,472.62x = 8,931.42 × 3,639.60
  4. Step 4: Simplify right side
    6,472.62x = 32,506,796.23
  5. Step 5: Solve for x
    x = 32,506,796.23/6,472.62
  6. Step 6: Final answer
    x = 5,022.20

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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.