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Finding the Fourth Proportional to 6,301.41, 9,418.16 and 5,504.58

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Solution

The fourth proportional to 6,301.41, 9,418.16 and 5,504.58 is: 8,227.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.41 : 9,418.16 = 5,504.58 : x
  2. Step 2: Convert to fraction form
    6,301.41/9,418.16 = 5,504.58/x
  3. Step 3: Cross multiply
    6,301.41x = 9,418.16 × 5,504.58
  4. Step 4: Simplify right side
    6,301.41x = 51,842,987.65
  5. Step 5: Solve for x
    x = 51,842,987.65/6,301.41
  6. Step 6: Final answer
    x = 8,227.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.