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Finding the Fourth Proportional to 7,061.62, 9,744.32 and 4,228.42

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Solution

The fourth proportional to 7,061.62, 9,744.32 and 4,228.42 is: 5,834.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.62 : 9,744.32 = 4,228.42 : x
  2. Step 2: Convert to fraction form
    7,061.62/9,744.32 = 4,228.42/x
  3. Step 3: Cross multiply
    7,061.62x = 9,744.32 × 4,228.42
  4. Step 4: Simplify right side
    7,061.62x = 41,203,077.57
  5. Step 5: Solve for x
    x = 41,203,077.57/7,061.62
  6. Step 6: Final answer
    x = 5,834.79

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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.