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Finding the Fourth Proportional to 9,890.85, 14,764.79 and 8,414.22

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Solution

The fourth proportional to 9,890.85, 14,764.79 and 8,414.22 is: 12,560.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.85 : 14,764.79 = 8,414.22 : x
  2. Step 2: Convert to fraction form
    9,890.85/14,764.79 = 8,414.22/x
  3. Step 3: Cross multiply
    9,890.85x = 14,764.79 × 8,414.22
  4. Step 4: Simplify right side
    9,890.85x = 124,234,149.24
  5. Step 5: Solve for x
    x = 124,234,149.24/9,890.85
  6. Step 6: Final answer
    x = 12,560.51

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.