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Finding the Fourth Proportional to 9,298.88, 12,828.12 and 5,760.80

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Solution

The fourth proportional to 9,298.88, 12,828.12 and 5,760.80 is: 7,947.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,298.88 : 12,828.12 = 5,760.80 : x
  2. Step 2: Convert to fraction form
    9,298.88/12,828.12 = 5,760.80/x
  3. Step 3: Cross multiply
    9,298.88x = 12,828.12 × 5,760.80
  4. Step 4: Simplify right side
    9,298.88x = 73,900,233.70
  5. Step 5: Solve for x
    x = 73,900,233.70/9,298.88
  6. Step 6: Final answer
    x = 7,947.22

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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.