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Finding the Fourth Proportional to 9,414.35, 12,988.10 and 6,580.97

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Solution

The fourth proportional to 9,414.35, 12,988.10 and 6,580.97 is: 9,079.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,414.35 : 12,988.10 = 6,580.97 : x
  2. Step 2: Convert to fraction form
    9,414.35/12,988.10 = 6,580.97/x
  3. Step 3: Cross multiply
    9,414.35x = 12,988.10 × 6,580.97
  4. Step 4: Simplify right side
    9,414.35x = 85,474,198.61
  5. Step 5: Solve for x
    x = 85,474,198.61/9,414.35
  6. Step 6: Final answer
    x = 9,079.14

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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.