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Finding the Fourth Proportional to 6,048.13, 9,072.21 and 3,854.65

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Solution

The fourth proportional to 6,048.13, 9,072.21 and 3,854.65 is: 5,781.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048.13 : 9,072.21 = 3,854.65 : x
  2. Step 2: Convert to fraction form
    6,048.13/9,072.21 = 3,854.65/x
  3. Step 3: Cross multiply
    6,048.13x = 9,072.21 × 3,854.65
  4. Step 4: Simplify right side
    6,048.13x = 34,970,194.28
  5. Step 5: Solve for x
    x = 34,970,194.28/6,048.13
  6. Step 6: Final answer
    x = 5,781.98

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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.