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Finding the Fourth Proportional to 6,149.85, 9,225.68 and 1,989.06

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Solution

The fourth proportional to 6,149.85, 9,225.68 and 1,989.06 is: 2,983.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,149.85 : 9,225.68 = 1,989.06 : x
  2. Step 2: Convert to fraction form
    6,149.85/9,225.68 = 1,989.06/x
  3. Step 3: Cross multiply
    6,149.85x = 9,225.68 × 1,989.06
  4. Step 4: Simplify right side
    6,149.85x = 18,350,421.12
  5. Step 5: Solve for x
    x = 18,350,421.12/6,149.85
  6. Step 6: Final answer
    x = 2,983.88

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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.