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Finding the Fourth Proportional to 6,048.78, 9,074.88 and 5,470.44

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Solution

The fourth proportional to 6,048.78, 9,074.88 and 5,470.44 is: 8,207.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048.78 : 9,074.88 = 5,470.44 : x
  2. Step 2: Convert to fraction form
    6,048.78/9,074.88 = 5,470.44/x
  3. Step 3: Cross multiply
    6,048.78x = 9,074.88 × 5,470.44
  4. Step 4: Simplify right side
    6,048.78x = 49,643,586.55
  5. Step 5: Solve for x
    x = 49,643,586.55/6,048.78
  6. Step 6: Final answer
    x = 8,207.21

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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.