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Finding the Fourth Proportional to 6,000.90, 9,000.14 and 2,301.90

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Solution

The fourth proportional to 6,000.90, 9,000.14 and 2,301.90 is: 3,452.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,000.90 : 9,000.14 = 2,301.90 : x
  2. Step 2: Convert to fraction form
    6,000.90/9,000.14 = 2,301.90/x
  3. Step 3: Cross multiply
    6,000.90x = 9,000.14 × 2,301.90
  4. Step 4: Simplify right side
    6,000.90x = 20,717,410.76
  5. Step 5: Solve for x
    x = 20,717,410.76/6,000.90
  6. Step 6: Final answer
    x = 3,452.38

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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.