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Finding the Fourth Proportional to 9,123.60, 12,591.18 and 6,881.52

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Solution

The fourth proportional to 9,123.60, 12,591.18 and 6,881.52 is: 9,496.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.60 : 12,591.18 = 6,881.52 : x
  2. Step 2: Convert to fraction form
    9,123.60/12,591.18 = 6,881.52/x
  3. Step 3: Cross multiply
    9,123.60x = 12,591.18 × 6,881.52
  4. Step 4: Simplify right side
    9,123.60x = 86,646,456.99
  5. Step 5: Solve for x
    x = 86,646,456.99/9,123.60
  6. Step 6: Final answer
    x = 9,496.96

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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.