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Finding the Fourth Proportional to 6,144.90, 9,217.35 and 4,200.90

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Solution

The fourth proportional to 6,144.90, 9,217.35 and 4,200.90 is: 6,301.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.90 : 9,217.35 = 4,200.90 : x
  2. Step 2: Convert to fraction form
    6,144.90/9,217.35 = 4,200.90/x
  3. Step 3: Cross multiply
    6,144.90x = 9,217.35 × 4,200.90
  4. Step 4: Simplify right side
    6,144.90x = 38,721,165.62
  5. Step 5: Solve for x
    x = 38,721,165.62/6,144.90
  6. Step 6: Final answer
    x = 6,301.35

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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.