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Finding the Fourth Proportional to 9,569.28, 13,202.34 and 5,981.78

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Solution

The fourth proportional to 9,569.28, 13,202.34 and 5,981.78 is: 8,252.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.28 : 13,202.34 = 5,981.78 : x
  2. Step 2: Convert to fraction form
    9,569.28/13,202.34 = 5,981.78/x
  3. Step 3: Cross multiply
    9,569.28x = 13,202.34 × 5,981.78
  4. Step 4: Simplify right side
    9,569.28x = 78,973,493.37
  5. Step 5: Solve for x
    x = 78,973,493.37/9,569.28
  6. Step 6: Final answer
    x = 8,252.81

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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.