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Finding the Fourth Proportional to 9,674.38, 14,486.82 and 6,377.38

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Solution

The fourth proportional to 9,674.38, 14,486.82 and 6,377.38 is: 9,549.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.38 : 14,486.82 = 6,377.38 : x
  2. Step 2: Convert to fraction form
    9,674.38/14,486.82 = 6,377.38/x
  3. Step 3: Cross multiply
    9,674.38x = 14,486.82 × 6,377.38
  4. Step 4: Simplify right side
    9,674.38x = 92,387,956.13
  5. Step 5: Solve for x
    x = 92,387,956.13/9,674.38
  6. Step 6: Final answer
    x = 9,549.75

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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.