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Finding the Fourth Proportional to 6,535.04, 9,019.92 and 3,742.16

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Solution

The fourth proportional to 6,535.04, 9,019.92 and 3,742.16 is: 5,165.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.04 : 9,019.92 = 3,742.16 : x
  2. Step 2: Convert to fraction form
    6,535.04/9,019.92 = 3,742.16/x
  3. Step 3: Cross multiply
    6,535.04x = 9,019.92 × 3,742.16
  4. Step 4: Simplify right side
    6,535.04x = 33,753,983.83
  5. Step 5: Solve for x
    x = 33,753,983.83/6,535.04
  6. Step 6: Final answer
    x = 5,165.08

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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.