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Finding the Fourth Proportional to 9,672.48, 13,342.32 and 5,940

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Solution

The fourth proportional to 9,672.48, 13,342.32 and 5,940 is: 8,193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.48 : 13,342.32 = 5,940 : x
  2. Step 2: Convert to fraction form
    9,672.48/13,342.32 = 5,940/x
  3. Step 3: Cross multiply
    9,672.48x = 13,342.32 × 5,940
  4. Step 4: Simplify right side
    9,672.48x = 79,253,380.80
  5. Step 5: Solve for x
    x = 79,253,380.80/9,672.48
  6. Step 6: Final answer
    x = 8,193.70

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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.