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Finding the Fourth Proportional to 7,061.46, 9,743.78 and 4,228.18

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Solution

The fourth proportional to 7,061.46, 9,743.78 and 4,228.18 is: 5,834.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,061.46 : 9,743.78 = 4,228.18 : x
  2. Step 2: Convert to fraction form
    7,061.46/9,743.78 = 4,228.18/x
  3. Step 3: Cross multiply
    7,061.46x = 9,743.78 × 4,228.18
  4. Step 4: Simplify right side
    7,061.46x = 41,198,455.72
  5. Step 5: Solve for x
    x = 41,198,455.72/7,061.46
  6. Step 6: Final answer
    x = 5,834.27

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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.