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Finding the Fourth Proportional to 9,238.39, 13,864.88 and 6,446.94

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Solution

The fourth proportional to 9,238.39, 13,864.88 and 6,446.94 is: 9,675.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.39 : 13,864.88 = 6,446.94 : x
  2. Step 2: Convert to fraction form
    9,238.39/13,864.88 = 6,446.94/x
  3. Step 3: Cross multiply
    9,238.39x = 13,864.88 × 6,446.94
  4. Step 4: Simplify right side
    9,238.39x = 89,386,049.47
  5. Step 5: Solve for x
    x = 89,386,049.47/9,238.39
  6. Step 6: Final answer
    x = 9,675.50

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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.