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Finding the Fourth Proportional to 9,569.97, 13,206.99 and 5,321.46

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Solution

The fourth proportional to 9,569.97, 13,206.99 and 5,321.46 is: 7,343.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,569.97 : 13,206.99 = 5,321.46 : x
  2. Step 2: Convert to fraction form
    9,569.97/13,206.99 = 5,321.46/x
  3. Step 3: Cross multiply
    9,569.97x = 13,206.99 × 5,321.46
  4. Step 4: Simplify right side
    9,569.97x = 70,280,469.01
  5. Step 5: Solve for x
    x = 70,280,469.01/9,569.97
  6. Step 6: Final answer
    x = 7,343.85

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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.