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Finding the Fourth Proportional to 6,694.13, 9,237.92 and 3,710.02

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Solution

The fourth proportional to 6,694.13, 9,237.92 and 3,710.02 is: 5,119.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,694.13 : 9,237.92 = 3,710.02 : x
  2. Step 2: Convert to fraction form
    6,694.13/9,237.92 = 3,710.02/x
  3. Step 3: Cross multiply
    6,694.13x = 9,237.92 × 3,710.02
  4. Step 4: Simplify right side
    6,694.13x = 34,272,867.96
  5. Step 5: Solve for x
    x = 34,272,867.96/6,694.13
  6. Step 6: Final answer
    x = 5,119.84

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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.