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Finding the Fourth Proportional to 6,117.38, 9,172 and 2,221.28

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Solution

The fourth proportional to 6,117.38, 9,172 and 2,221.28 is: 3,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.38 : 9,172 = 2,221.28 : x
  2. Step 2: Convert to fraction form
    6,117.38/9,172 = 2,221.28/x
  3. Step 3: Cross multiply
    6,117.38x = 9,172 × 2,221.28
  4. Step 4: Simplify right side
    6,117.38x = 20,373,580.16
  5. Step 5: Solve for x
    x = 20,373,580.16/6,117.38
  6. Step 6: Final answer
    x = 3,330.44

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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.