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Finding the Fourth Proportional to 9,586.65, 13,229.55 and 5,394.90

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Solution

The fourth proportional to 9,586.65, 13,229.55 and 5,394.90 is: 7,444.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.65 : 13,229.55 = 5,394.90 : x
  2. Step 2: Convert to fraction form
    9,586.65/13,229.55 = 5,394.90/x
  3. Step 3: Cross multiply
    9,586.65x = 13,229.55 × 5,394.90
  4. Step 4: Simplify right side
    9,586.65x = 71,372,099.30
  5. Step 5: Solve for x
    x = 71,372,099.30/9,586.65
  6. Step 6: Final answer
    x = 7,444.95

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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.