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Finding the Fourth Proportional to 7,132.97, 9,836.07 and 4,299.77

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Solution

The fourth proportional to 7,132.97, 9,836.07 and 4,299.77 is: 5,929.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,132.97 : 9,836.07 = 4,299.77 : x
  2. Step 2: Convert to fraction form
    7,132.97/9,836.07 = 4,299.77/x
  3. Step 3: Cross multiply
    7,132.97x = 9,836.07 × 4,299.77
  4. Step 4: Simplify right side
    7,132.97x = 42,292,789.52
  5. Step 5: Solve for x
    x = 42,292,789.52/7,132.97
  6. Step 6: Final answer
    x = 5,929.20

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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.