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Finding the Fourth Proportional to 9,586.31, 13,229.11 and 5,394.65

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Solution

The fourth proportional to 9,586.31, 13,229.11 and 5,394.65 is: 7,444.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.31 : 13,229.11 = 5,394.65 : x
  2. Step 2: Convert to fraction form
    9,586.31/13,229.11 = 5,394.65/x
  3. Step 3: Cross multiply
    9,586.31x = 13,229.11 × 5,394.65
  4. Step 4: Simplify right side
    9,586.31x = 71,366,458.08
  5. Step 5: Solve for x
    x = 71,366,458.08/9,586.31
  6. Step 6: Final answer
    x = 7,444.62

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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.