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Finding the Fourth Proportional to 6,697.35, 9,242.81 and 3,713.46

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Solution

The fourth proportional to 6,697.35, 9,242.81 and 3,713.46 is: 5,124.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.35 : 9,242.81 = 3,713.46 : x
  2. Step 2: Convert to fraction form
    6,697.35/9,242.81 = 3,713.46/x
  3. Step 3: Cross multiply
    6,697.35x = 9,242.81 × 3,713.46
  4. Step 4: Simplify right side
    6,697.35x = 34,322,786.66
  5. Step 5: Solve for x
    x = 34,322,786.66/6,697.35
  6. Step 6: Final answer
    x = 5,124.83

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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.