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Finding the Fourth Proportional to 9,914.48, 14,867 and 5,755.76

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Solution

The fourth proportional to 9,914.48, 14,867 and 5,755.76 is: 8,630.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.48 : 14,867 = 5,755.76 : x
  2. Step 2: Convert to fraction form
    9,914.48/14,867 = 5,755.76/x
  3. Step 3: Cross multiply
    9,914.48x = 14,867 × 5,755.76
  4. Step 4: Simplify right side
    9,914.48x = 85,570,883.92
  5. Step 5: Solve for x
    x = 85,570,883.92/9,914.48
  6. Step 6: Final answer
    x = 8,630.90

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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.