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Finding the Fourth Proportional to 8,097.59, 12,132.41 and 6,322.20

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Solution

The fourth proportional to 8,097.59, 12,132.41 and 6,322.20 is: 9,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,097.59 : 12,132.41 = 6,322.20 : x
  2. Step 2: Convert to fraction form
    8,097.59/12,132.41 = 6,322.20/x
  3. Step 3: Cross multiply
    8,097.59x = 12,132.41 × 6,322.20
  4. Step 4: Simplify right side
    8,097.59x = 76,703,490.89
  5. Step 5: Solve for x
    x = 76,703,490.89/8,097.59
  6. Step 6: Final answer
    x = 9,472.39

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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.