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Finding the Fourth Proportional to 6,324.02, 9,481.47 and 3,034.58

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Solution

The fourth proportional to 6,324.02, 9,481.47 and 3,034.58 is: 4,549.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.02 : 9,481.47 = 3,034.58 : x
  2. Step 2: Convert to fraction form
    6,324.02/9,481.47 = 3,034.58/x
  3. Step 3: Cross multiply
    6,324.02x = 9,481.47 × 3,034.58
  4. Step 4: Simplify right side
    6,324.02x = 28,772,279.23
  5. Step 5: Solve for x
    x = 28,772,279.23/6,324.02
  6. Step 6: Final answer
    x = 4,549.68

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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.