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Finding the Fourth Proportional to 9,917.70, 14,855.82 and 5,956.38

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Solution

The fourth proportional to 9,917.70, 14,855.82 and 5,956.38 is: 8,922.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,917.70 : 14,855.82 = 5,956.38 : x
  2. Step 2: Convert to fraction form
    9,917.70/14,855.82 = 5,956.38/x
  3. Step 3: Cross multiply
    9,917.70x = 14,855.82 × 5,956.38
  4. Step 4: Simplify right side
    9,917.70x = 88,486,909.13
  5. Step 5: Solve for x
    x = 88,486,909.13/9,917.70
  6. Step 6: Final answer
    x = 8,922.12

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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.