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Finding the Fourth Proportional to 6,301.12, 9,451.02 and 2,141.02

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Solution

The fourth proportional to 6,301.12, 9,451.02 and 2,141.02 is: 3,211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.12 : 9,451.02 = 2,141.02 : x
  2. Step 2: Convert to fraction form
    6,301.12/9,451.02 = 2,141.02/x
  3. Step 3: Cross multiply
    6,301.12x = 9,451.02 × 2,141.02
  4. Step 4: Simplify right side
    6,301.12x = 20,234,822.84
  5. Step 5: Solve for x
    x = 20,234,822.84/6,301.12
  6. Step 6: Final answer
    x = 3,211.31

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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.