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Finding the Fourth Proportional to 9,346.28, 12,896.39 and 5,569.35

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Solution

The fourth proportional to 9,346.28, 12,896.39 and 5,569.35 is: 7,684.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,346.28 : 12,896.39 = 5,569.35 : x
  2. Step 2: Convert to fraction form
    9,346.28/12,896.39 = 5,569.35/x
  3. Step 3: Cross multiply
    9,346.28x = 12,896.39 × 5,569.35
  4. Step 4: Simplify right side
    9,346.28x = 71,824,481.80
  5. Step 5: Solve for x
    x = 71,824,481.80/9,346.28
  6. Step 6: Final answer
    x = 7,684.82

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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.