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Finding the Fourth Proportional to 6,013.76, 9,023.22 and 3,237.20

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Solution

The fourth proportional to 6,013.76, 9,023.22 and 3,237.20 is: 4,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,013.76 : 9,023.22 = 3,237.20 : x
  2. Step 2: Convert to fraction form
    6,013.76/9,023.22 = 3,237.20/x
  3. Step 3: Cross multiply
    6,013.76x = 9,023.22 × 3,237.20
  4. Step 4: Simplify right side
    6,013.76x = 29,209,967.78
  5. Step 5: Solve for x
    x = 29,209,967.78/6,013.76
  6. Step 6: Final answer
    x = 4,857.19

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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.