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Finding the Fourth Proportional to 9,464.80, 14,197.76 and 3,917.92

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Solution

The fourth proportional to 9,464.80, 14,197.76 and 3,917.92 is: 5,877.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,464.80 : 14,197.76 = 3,917.92 : x
  2. Step 2: Convert to fraction form
    9,464.80/14,197.76 = 3,917.92/x
  3. Step 3: Cross multiply
    9,464.80x = 14,197.76 × 3,917.92
  4. Step 4: Simplify right side
    9,464.80x = 55,625,687.86
  5. Step 5: Solve for x
    x = 55,625,687.86/9,464.80
  6. Step 6: Final answer
    x = 5,877.11

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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.