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Finding the Fourth Proportional to 9,586.90, 13,229.90 and 5,395.16

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Solution

The fourth proportional to 9,586.90, 13,229.90 and 5,395.16 is: 7,445.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.90 : 13,229.90 = 5,395.16 : x
  2. Step 2: Convert to fraction form
    9,586.90/13,229.90 = 5,395.16/x
  3. Step 3: Cross multiply
    9,586.90x = 13,229.90 × 5,395.16
  4. Step 4: Simplify right side
    9,586.90x = 71,377,427.28
  5. Step 5: Solve for x
    x = 71,377,427.28/9,586.90
  6. Step 6: Final answer
    x = 7,445.31

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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.