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Finding the Fourth Proportional to 6,032.97, 9,041.36 and 3,952.08

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Solution

The fourth proportional to 6,032.97, 9,041.36 and 3,952.08 is: 5,922.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.97 : 9,041.36 = 3,952.08 : x
  2. Step 2: Convert to fraction form
    6,032.97/9,041.36 = 3,952.08/x
  3. Step 3: Cross multiply
    6,032.97x = 9,041.36 × 3,952.08
  4. Step 4: Simplify right side
    6,032.97x = 35,732,158.27
  5. Step 5: Solve for x
    x = 35,732,158.27/6,032.97
  6. Step 6: Final answer
    x = 5,922.81

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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.