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Finding the Fourth Proportional to 9,586.54, 13,229.31 and 5,337.61

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Solution

The fourth proportional to 9,586.54, 13,229.31 and 5,337.61 is: 7,365.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.54 : 13,229.31 = 5,337.61 : x
  2. Step 2: Convert to fraction form
    9,586.54/13,229.31 = 5,337.61/x
  3. Step 3: Cross multiply
    9,586.54x = 13,229.31 × 5,337.61
  4. Step 4: Simplify right side
    9,586.54x = 70,612,897.35
  5. Step 5: Solve for x
    x = 70,612,897.35/9,586.54
  6. Step 6: Final answer
    x = 7,365.84

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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.