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Finding the Fourth Proportional to 9,691.04, 13,375.10 and 5,916.41

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Solution

The fourth proportional to 9,691.04, 13,375.10 and 5,916.41 is: 8,165.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.04 : 13,375.10 = 5,916.41 : x
  2. Step 2: Convert to fraction form
    9,691.04/13,375.10 = 5,916.41/x
  3. Step 3: Cross multiply
    9,691.04x = 13,375.10 × 5,916.41
  4. Step 4: Simplify right side
    9,691.04x = 79,132,575.39
  5. Step 5: Solve for x
    x = 79,132,575.39/9,691.04
  6. Step 6: Final answer
    x = 8,165.54

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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.