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Finding the Fourth Proportional to 9,123.56, 13,691.58 and 6,005.06

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Solution

The fourth proportional to 9,123.56, 13,691.58 and 6,005.06 is: 9,011.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,123.56 : 13,691.58 = 6,005.06 : x
  2. Step 2: Convert to fraction form
    9,123.56/13,691.58 = 6,005.06/x
  3. Step 3: Cross multiply
    9,123.56x = 13,691.58 × 6,005.06
  4. Step 4: Simplify right side
    9,123.56x = 82,218,759.39
  5. Step 5: Solve for x
    x = 82,218,759.39/9,123.56
  6. Step 6: Final answer
    x = 9,011.70

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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.