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Finding the Fourth Proportional to 6,685.74, 9,225.56 and 3,701.33

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Solution

The fourth proportional to 6,685.74, 9,225.56 and 3,701.33 is: 5,107.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.74 : 9,225.56 = 3,701.33 : x
  2. Step 2: Convert to fraction form
    6,685.74/9,225.56 = 3,701.33/x
  3. Step 3: Cross multiply
    6,685.74x = 9,225.56 × 3,701.33
  4. Step 4: Simplify right side
    6,685.74x = 34,146,839.72
  5. Step 5: Solve for x
    x = 34,146,839.72/6,685.74
  6. Step 6: Final answer
    x = 5,107.41

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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.