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Finding the Fourth Proportional to 7,061.41, 9,744.67 and 3,874.64

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Solution

The fourth proportional to 7,061.41, 9,744.67 and 3,874.64 is: 5,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.41 : 9,744.67 = 3,874.64 : x
  2. Step 2: Convert to fraction form
    7,061.41/9,744.67 = 3,874.64/x
  3. Step 3: Cross multiply
    7,061.41x = 9,744.67 × 3,874.64
  4. Step 4: Simplify right side
    7,061.41x = 37,757,088.17
  5. Step 5: Solve for x
    x = 37,757,088.17/7,061.41
  6. Step 6: Final answer
    x = 5,346.96

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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.