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Finding the Fourth Proportional to 8,963.68, 12,362.88 and 6,132.74

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Solution

The fourth proportional to 8,963.68, 12,362.88 and 6,132.74 is: 8,458.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,963.68 : 12,362.88 = 6,132.74 : x
  2. Step 2: Convert to fraction form
    8,963.68/12,362.88 = 6,132.74/x
  3. Step 3: Cross multiply
    8,963.68x = 12,362.88 × 6,132.74
  4. Step 4: Simplify right side
    8,963.68x = 75,818,328.69
  5. Step 5: Solve for x
    x = 75,818,328.69/8,963.68
  6. Step 6: Final answer
    x = 8,458.39

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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.