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Finding the Fourth Proportional to 6,442.06, 9,662.78 and 3,775.13

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Solution

The fourth proportional to 6,442.06, 9,662.78 and 3,775.13 is: 5,662.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.06 : 9,662.78 = 3,775.13 : x
  2. Step 2: Convert to fraction form
    6,442.06/9,662.78 = 3,775.13/x
  3. Step 3: Cross multiply
    6,442.06x = 9,662.78 × 3,775.13
  4. Step 4: Simplify right side
    6,442.06x = 36,478,255.94
  5. Step 5: Solve for x
    x = 36,478,255.94/6,442.06
  6. Step 6: Final answer
    x = 5,662.52

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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.