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Finding the Fourth Proportional to 9,760.53, 13,456.82 and 6,222.45

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Solution

The fourth proportional to 9,760.53, 13,456.82 and 6,222.45 is: 8,578.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.53 : 13,456.82 = 6,222.45 : x
  2. Step 2: Convert to fraction form
    9,760.53/13,456.82 = 6,222.45/x
  3. Step 3: Cross multiply
    9,760.53x = 13,456.82 × 6,222.45
  4. Step 4: Simplify right side
    9,760.53x = 83,734,358.50
  5. Step 5: Solve for x
    x = 83,734,358.50/9,760.53
  6. Step 6: Final answer
    x = 8,578.87

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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.