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Finding the Fourth Proportional to 6,149.28, 9,223.68 and 1,989.28

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Solution

The fourth proportional to 6,149.28, 9,223.68 and 1,989.28 is: 2,983.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.28 : 9,223.68 = 1,989.28 : x
  2. Step 2: Convert to fraction form
    6,149.28/9,223.68 = 1,989.28/x
  3. Step 3: Cross multiply
    6,149.28x = 9,223.68 × 1,989.28
  4. Step 4: Simplify right side
    6,149.28x = 18,348,482.15
  5. Step 5: Solve for x
    x = 18,348,482.15/6,149.28
  6. Step 6: Final answer
    x = 2,983.84

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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.