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Finding the Fourth Proportional to 6,002.61, 9,005.82 and 2,494.29

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Solution

The fourth proportional to 6,002.61, 9,005.82 and 2,494.29 is: 3,742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.61 : 9,005.82 = 2,494.29 : x
  2. Step 2: Convert to fraction form
    6,002.61/9,005.82 = 2,494.29/x
  3. Step 3: Cross multiply
    6,002.61x = 9,005.82 × 2,494.29
  4. Step 4: Simplify right side
    6,002.61x = 22,463,126.77
  5. Step 5: Solve for x
    x = 22,463,126.77/6,002.61
  6. Step 6: Final answer
    x = 3,742.23

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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.