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Finding the Fourth Proportional to 8,963.47, 12,371.16 and 5,828.77

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Solution

The fourth proportional to 8,963.47, 12,371.16 and 5,828.77 is: 8,044.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.47 : 12,371.16 = 5,828.77 : x
  2. Step 2: Convert to fraction form
    8,963.47/12,371.16 = 5,828.77/x
  3. Step 3: Cross multiply
    8,963.47x = 12,371.16 × 5,828.77
  4. Step 4: Simplify right side
    8,963.47x = 72,108,646.27
  5. Step 5: Solve for x
    x = 72,108,646.27/8,963.47
  6. Step 6: Final answer
    x = 8,044.72

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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.