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Finding the Fourth Proportional to 7,061.14, 9,744.38 and 3,874.47

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Solution

The fourth proportional to 7,061.14, 9,744.38 and 3,874.47 is: 5,346.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.14 : 9,744.38 = 3,874.47 : x
  2. Step 2: Convert to fraction form
    7,061.14/9,744.38 = 3,874.47/x
  3. Step 3: Cross multiply
    7,061.14x = 9,744.38 × 3,874.47
  4. Step 4: Simplify right side
    7,061.14x = 37,754,307.98
  5. Step 5: Solve for x
    x = 37,754,307.98/7,061.14
  6. Step 6: Final answer
    x = 5,346.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.