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Finding the Fourth Proportional to 9,877.88, 14,819.70 and 5,771

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Solution

The fourth proportional to 9,877.88, 14,819.70 and 5,771 is: 8,658.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,877.88 : 14,819.70 = 5,771 : x
  2. Step 2: Convert to fraction form
    9,877.88/14,819.70 = 5,771/x
  3. Step 3: Cross multiply
    9,877.88x = 14,819.70 × 5,771
  4. Step 4: Simplify right side
    9,877.88x = 85,524,488.70
  5. Step 5: Solve for x
    x = 85,524,488.70/9,877.88
  6. Step 6: Final answer
    x = 8,658.18

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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.