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Finding the Fourth Proportional to 6,783.80, 9,367.14 and 5,034.20

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Solution

The fourth proportional to 6,783.80, 9,367.14 and 5,034.20 is: 6,951.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.80 : 9,367.14 = 5,034.20 : x
  2. Step 2: Convert to fraction form
    6,783.80/9,367.14 = 5,034.20/x
  3. Step 3: Cross multiply
    6,783.80x = 9,367.14 × 5,034.20
  4. Step 4: Simplify right side
    6,783.80x = 47,156,056.19
  5. Step 5: Solve for x
    x = 47,156,056.19/6,783.80
  6. Step 6: Final answer
    x = 6,951.27

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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.