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Finding the Fourth Proportional to 6,772.80, 9,346.36 and 4,119.72

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Solution

The fourth proportional to 6,772.80, 9,346.36 and 4,119.72 is: 5,685.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.80 : 9,346.36 = 4,119.72 : x
  2. Step 2: Convert to fraction form
    6,772.80/9,346.36 = 4,119.72/x
  3. Step 3: Cross multiply
    6,772.80x = 9,346.36 × 4,119.72
  4. Step 4: Simplify right side
    6,772.80x = 38,504,386.22
  5. Step 5: Solve for x
    x = 38,504,386.22/6,772.80
  6. Step 6: Final answer
    x = 5,685.15

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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.