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Finding the Fourth Proportional to 6,301.97, 9,398.04 and 5,525.58

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Solution

The fourth proportional to 6,301.97, 9,398.04 and 5,525.58 is: 8,240.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.97 : 9,398.04 = 5,525.58 : x
  2. Step 2: Convert to fraction form
    6,301.97/9,398.04 = 5,525.58/x
  3. Step 3: Cross multiply
    6,301.97x = 9,398.04 × 5,525.58
  4. Step 4: Simplify right side
    6,301.97x = 51,929,621.86
  5. Step 5: Solve for x
    x = 51,929,621.86/6,301.97
  6. Step 6: Final answer
    x = 8,240.22

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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.