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Finding the Fourth Proportional to 9,288.50, 13,934.91 and 6,686.78

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Solution

The fourth proportional to 9,288.50, 13,934.91 and 6,686.78 is: 10,031.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.50 : 13,934.91 = 6,686.78 : x
  2. Step 2: Convert to fraction form
    9,288.50/13,934.91 = 6,686.78/x
  3. Step 3: Cross multiply
    9,288.50x = 13,934.91 × 6,686.78
  4. Step 4: Simplify right side
    9,288.50x = 93,179,677.49
  5. Step 5: Solve for x
    x = 93,179,677.49/9,288.50
  6. Step 6: Final answer
    x = 10,031.72

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