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Finding the Fourth Proportional to 9,586.60, 13,229.86 and 5,395.24

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Solution

The fourth proportional to 9,586.60, 13,229.86 and 5,395.24 is: 7,445.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.60 : 13,229.86 = 5,395.24 : x
  2. Step 2: Convert to fraction form
    9,586.60/13,229.86 = 5,395.24/x
  3. Step 3: Cross multiply
    9,586.60x = 13,229.86 × 5,395.24
  4. Step 4: Simplify right side
    9,586.60x = 71,378,269.87
  5. Step 5: Solve for x
    x = 71,378,269.87/9,586.60
  6. Step 6: Final answer
    x = 7,445.63

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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.