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Finding the Fourth Proportional to 6,772.69, 9,347.76 and 4,120.95

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Solution

The fourth proportional to 6,772.69, 9,347.76 and 4,120.95 is: 5,687.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.69 : 9,347.76 = 4,120.95 : x
  2. Step 2: Convert to fraction form
    6,772.69/9,347.76 = 4,120.95/x
  3. Step 3: Cross multiply
    6,772.69x = 9,347.76 × 4,120.95
  4. Step 4: Simplify right side
    6,772.69x = 38,521,651.57
  5. Step 5: Solve for x
    x = 38,521,651.57/6,772.69
  6. Step 6: Final answer
    x = 5,687.80

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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.