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Finding the Fourth Proportional to 9,586.68, 13,229.29 and 5,394.12

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Solution

The fourth proportional to 9,586.68, 13,229.29 and 5,394.12 is: 7,443.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.68 : 13,229.29 = 5,394.12 : x
  2. Step 2: Convert to fraction form
    9,586.68/13,229.29 = 5,394.12/x
  3. Step 3: Cross multiply
    9,586.68x = 13,229.29 × 5,394.12
  4. Step 4: Simplify right side
    9,586.68x = 71,360,377.77
  5. Step 5: Solve for x
    x = 71,360,377.77/9,586.68
  6. Step 6: Final answer
    x = 7,443.70

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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.