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Finding the Fourth Proportional to 9,910.40, 14,849.40 and 8,452.40

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Solution

The fourth proportional to 9,910.40, 14,849.40 and 8,452.40 is: 12,664.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,910.40 : 14,849.40 = 8,452.40 : x
  2. Step 2: Convert to fraction form
    9,910.40/14,849.40 = 8,452.40/x
  3. Step 3: Cross multiply
    9,910.40x = 14,849.40 × 8,452.40
  4. Step 4: Simplify right side
    9,910.40x = 125,513,068.56
  5. Step 5: Solve for x
    x = 125,513,068.56/9,910.40
  6. Step 6: Final answer
    x = 12,664.78

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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.