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Finding the Fourth Proportional to 9,275.28, 12,798 and 5,496.78

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Solution

The fourth proportional to 9,275.28, 12,798 and 5,496.78 is: 7,584.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,275.28 : 12,798 = 5,496.78 : x
  2. Step 2: Convert to fraction form
    9,275.28/12,798 = 5,496.78/x
  3. Step 3: Cross multiply
    9,275.28x = 12,798 × 5,496.78
  4. Step 4: Simplify right side
    9,275.28x = 70,347,790.44
  5. Step 5: Solve for x
    x = 70,347,790.44/9,275.28
  6. Step 6: Final answer
    x = 7,584.44

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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.