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Finding the Fourth Proportional to 6,152.28, 9,229.11 and 2,256.68

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Solution

The fourth proportional to 6,152.28, 9,229.11 and 2,256.68 is: 3,385.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,152.28 : 9,229.11 = 2,256.68 : x
  2. Step 2: Convert to fraction form
    6,152.28/9,229.11 = 2,256.68/x
  3. Step 3: Cross multiply
    6,152.28x = 9,229.11 × 2,256.68
  4. Step 4: Simplify right side
    6,152.28x = 20,827,101.81
  5. Step 5: Solve for x
    x = 20,827,101.81/6,152.28
  6. Step 6: Final answer
    x = 3,385.27

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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.