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Finding the Fourth Proportional to 8,262.65, 12,402.17 and 6,433.77

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Solution

The fourth proportional to 8,262.65, 12,402.17 and 6,433.77 is: 9,657.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,262.65 : 12,402.17 = 6,433.77 : x
  2. Step 2: Convert to fraction form
    8,262.65/12,402.17 = 6,433.77/x
  3. Step 3: Cross multiply
    8,262.65x = 12,402.17 × 6,433.77
  4. Step 4: Simplify right side
    8,262.65x = 79,792,677.11
  5. Step 5: Solve for x
    x = 79,792,677.11/8,262.65
  6. Step 6: Final answer
    x = 9,657.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.