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Finding the Fourth Proportional to 9,221.97, 13,834.35 and 3,298.41

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Solution

The fourth proportional to 9,221.97, 13,834.35 and 3,298.41 is: 4,948.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.97 : 13,834.35 = 3,298.41 : x
  2. Step 2: Convert to fraction form
    9,221.97/13,834.35 = 3,298.41/x
  3. Step 3: Cross multiply
    9,221.97x = 13,834.35 × 3,298.41
  4. Step 4: Simplify right side
    9,221.97x = 45,631,358.38
  5. Step 5: Solve for x
    x = 45,631,358.38/9,221.97
  6. Step 6: Final answer
    x = 4,948.11

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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.