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Finding the Fourth Proportional to 7,772.92, 11,649.62 and 6,122.95

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Solution

The fourth proportional to 7,772.92, 11,649.62 and 6,122.95 is: 9,176.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,772.92 : 11,649.62 = 6,122.95 : x
  2. Step 2: Convert to fraction form
    7,772.92/11,649.62 = 6,122.95/x
  3. Step 3: Cross multiply
    7,772.92x = 11,649.62 × 6,122.95
  4. Step 4: Simplify right side
    7,772.92x = 71,330,040.78
  5. Step 5: Solve for x
    x = 71,330,040.78/7,772.92
  6. Step 6: Final answer
    x = 9,176.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.