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Finding the Fourth Proportional to 6,697.84, 9,242.81 and 3,713.80

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Solution

The fourth proportional to 6,697.84, 9,242.81 and 3,713.80 is: 5,124.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,697.84 : 9,242.81 = 3,713.80 : x
  2. Step 2: Convert to fraction form
    6,697.84/9,242.81 = 3,713.80/x
  3. Step 3: Cross multiply
    6,697.84x = 9,242.81 × 3,713.80
  4. Step 4: Simplify right side
    6,697.84x = 34,325,937.36
  5. Step 5: Solve for x
    x = 34,325,937.36/6,697.84
  6. Step 6: Final answer
    x = 5,124.93

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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.