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Finding the Fourth Proportional to 6,685.24, 9,225.72 and 3,701

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Solution

The fourth proportional to 6,685.24, 9,225.72 and 3,701 is: 5,107.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,685.24 : 9,225.72 = 3,701 : x
  2. Step 2: Convert to fraction form
    6,685.24/9,225.72 = 3,701/x
  3. Step 3: Cross multiply
    6,685.24x = 9,225.72 × 3,701
  4. Step 4: Simplify right side
    6,685.24x = 34,144,389.72
  5. Step 5: Solve for x
    x = 34,144,389.72/6,685.24
  6. Step 6: Final answer
    x = 5,107.43

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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.