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Finding the Fourth Proportional to 9,256.48, 12,761.02 and 7,834.52

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Solution

The fourth proportional to 9,256.48, 12,761.02 and 7,834.52 is: 10,800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,256.48 : 12,761.02 = 7,834.52 : x
  2. Step 2: Convert to fraction form
    9,256.48/12,761.02 = 7,834.52/x
  3. Step 3: Cross multiply
    9,256.48x = 12,761.02 × 7,834.52
  4. Step 4: Simplify right side
    9,256.48x = 99,976,508.11
  5. Step 5: Solve for x
    x = 99,976,508.11/9,256.48
  6. Step 6: Final answer
    x = 10,800.71

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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.