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Finding the Fourth Proportional to 9,644.52, 13,309.38 and 5,395.57

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Solution

The fourth proportional to 9,644.52, 13,309.38 and 5,395.57 is: 7,445.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,644.52 : 13,309.38 = 5,395.57 : x
  2. Step 2: Convert to fraction form
    9,644.52/13,309.38 = 5,395.57/x
  3. Step 3: Cross multiply
    9,644.52x = 13,309.38 × 5,395.57
  4. Step 4: Simplify right side
    9,644.52x = 71,811,691.45
  5. Step 5: Solve for x
    x = 71,811,691.45/9,644.52
  6. Step 6: Final answer
    x = 7,445.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.