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Finding the Fourth Proportional to 9,757.17, 14,552.31 and 8,286

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Solution

The fourth proportional to 9,757.17, 14,552.31 and 8,286 is: 12,358.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.17 : 14,552.31 = 8,286 : x
  2. Step 2: Convert to fraction form
    9,757.17/14,552.31 = 8,286/x
  3. Step 3: Cross multiply
    9,757.17x = 14,552.31 × 8,286
  4. Step 4: Simplify right side
    9,757.17x = 120,580,440.66
  5. Step 5: Solve for x
    x = 120,580,440.66/9,757.17
  6. Step 6: Final answer
    x = 12,358.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.