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Finding the Fourth Proportional to 6,832.72, 9,429.04 and 4,002.04

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Solution

The fourth proportional to 6,832.72, 9,429.04 and 4,002.04 is: 5,522.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.72 : 9,429.04 = 4,002.04 : x
  2. Step 2: Convert to fraction form
    6,832.72/9,429.04 = 4,002.04/x
  3. Step 3: Cross multiply
    6,832.72x = 9,429.04 × 4,002.04
  4. Step 4: Simplify right side
    6,832.72x = 37,735,395.24
  5. Step 5: Solve for x
    x = 37,735,395.24/6,832.72
  6. Step 6: Final answer
    x = 5,522.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.