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Finding the Fourth Proportional to 8,963.87, 12,371.54 and 6,309.63

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Solution

The fourth proportional to 8,963.87, 12,371.54 and 6,309.63 is: 8,708.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.87 : 12,371.54 = 6,309.63 : x
  2. Step 2: Convert to fraction form
    8,963.87/12,371.54 = 6,309.63/x
  3. Step 3: Cross multiply
    8,963.87x = 12,371.54 × 6,309.63
  4. Step 4: Simplify right side
    8,963.87x = 78,059,808.38
  5. Step 5: Solve for x
    x = 78,059,808.38/8,963.87
  6. Step 6: Final answer
    x = 8,708.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.