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Finding the Fourth Proportional to 8,717.40, 12,029.76 and 4,738.44

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Solution

The fourth proportional to 8,717.40, 12,029.76 and 4,738.44 is: 6,538.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,717.40 : 12,029.76 = 4,738.44 : x
  2. Step 2: Convert to fraction form
    8,717.40/12,029.76 = 4,738.44/x
  3. Step 3: Cross multiply
    8,717.40x = 12,029.76 × 4,738.44
  4. Step 4: Simplify right side
    8,717.40x = 57,002,295.97
  5. Step 5: Solve for x
    x = 57,002,295.97/8,717.40
  6. Step 6: Final answer
    x = 6,538.91

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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.