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Finding the Fourth Proportional to 6,442.74, 9,648.27 and 3,145.20

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Solution

The fourth proportional to 6,442.74, 9,648.27 and 3,145.20 is: 4,710.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.74 : 9,648.27 = 3,145.20 : x
  2. Step 2: Convert to fraction form
    6,442.74/9,648.27 = 3,145.20/x
  3. Step 3: Cross multiply
    6,442.74x = 9,648.27 × 3,145.20
  4. Step 4: Simplify right side
    6,442.74x = 30,345,738.80
  5. Step 5: Solve for x
    x = 30,345,738.80/6,442.74
  6. Step 6: Final answer
    x = 4,710.07

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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.