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Finding the Fourth Proportional to 11,414.47, 15,751.97 and 6,937.39

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Solution

The fourth proportional to 11,414.47, 15,751.97 and 6,937.39 is: 9,573.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,414.47 : 15,751.97 = 6,937.39 : x
  2. Step 2: Convert to fraction form
    11,414.47/15,751.97 = 6,937.39/x
  3. Step 3: Cross multiply
    11,414.47x = 15,751.97 × 6,937.39
  4. Step 4: Simplify right side
    11,414.47x = 109,277,445.71
  5. Step 5: Solve for x
    x = 109,277,445.71/11,414.47
  6. Step 6: Final answer
    x = 9,573.59

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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.