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Finding the Fourth Proportional to 6,391.80, 9,592.56 and 3,470.94

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Solution

The fourth proportional to 6,391.80, 9,592.56 and 3,470.94 is: 5,209.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.80 : 9,592.56 = 3,470.94 : x
  2. Step 2: Convert to fraction form
    6,391.80/9,592.56 = 3,470.94/x
  3. Step 3: Cross multiply
    6,391.80x = 9,592.56 × 3,470.94
  4. Step 4: Simplify right side
    6,391.80x = 33,295,200.21
  5. Step 5: Solve for x
    x = 33,295,200.21/6,391.80
  6. Step 6: Final answer
    x = 5,209.05

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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.