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Finding the Fourth Proportional to 6,534.04, 9,017 and 3,739.56

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Solution

The fourth proportional to 6,534.04, 9,017 and 3,739.56 is: 5,160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.04 : 9,017 = 3,739.56 : x
  2. Step 2: Convert to fraction form
    6,534.04/9,017 = 3,739.56/x
  3. Step 3: Cross multiply
    6,534.04x = 9,017 × 3,739.56
  4. Step 4: Simplify right side
    6,534.04x = 33,719,612.52
  5. Step 5: Solve for x
    x = 33,719,612.52/6,534.04
  6. Step 6: Final answer
    x = 5,160.61

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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.