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Finding the Fourth Proportional to 6,772.70, 9,347.78 and 4,120.96

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Solution

The fourth proportional to 6,772.70, 9,347.78 and 4,120.96 is: 5,687.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.70 : 9,347.78 = 4,120.96 : x
  2. Step 2: Convert to fraction form
    6,772.70/9,347.78 = 4,120.96/x
  3. Step 3: Cross multiply
    6,772.70x = 9,347.78 × 4,120.96
  4. Step 4: Simplify right side
    6,772.70x = 38,521,820.34
  5. Step 5: Solve for x
    x = 38,521,820.34/6,772.70
  6. Step 6: Final answer
    x = 5,687.81

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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.