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Finding the Fourth Proportional to 9,375.62, 14,065.65 and 4,992.17

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Solution

The fourth proportional to 9,375.62, 14,065.65 and 4,992.17 is: 7,489.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,375.62 : 14,065.65 = 4,992.17 : x
  2. Step 2: Convert to fraction form
    9,375.62/14,065.65 = 4,992.17/x
  3. Step 3: Cross multiply
    9,375.62x = 14,065.65 × 4,992.17
  4. Step 4: Simplify right side
    9,375.62x = 70,218,045.63
  5. Step 5: Solve for x
    x = 70,218,045.63/9,375.62
  6. Step 6: Final answer
    x = 7,489.43

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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.