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Finding the Fourth Proportional to 6,006.10, 9,026.20 and 4,071.82

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Solution

The fourth proportional to 6,006.10, 9,026.20 and 4,071.82 is: 6,119.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,006.10 : 9,026.20 = 4,071.82 : x
  2. Step 2: Convert to fraction form
    6,006.10/9,026.20 = 4,071.82/x
  3. Step 3: Cross multiply
    6,006.10x = 9,026.20 × 4,071.82
  4. Step 4: Simplify right side
    6,006.10x = 36,753,061.68
  5. Step 5: Solve for x
    x = 36,753,061.68/6,006.10
  6. Step 6: Final answer
    x = 6,119.29

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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.