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Finding the Fourth Proportional to 6,275.02, 9,414.48 and 3,778.95

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Solution

The fourth proportional to 6,275.02, 9,414.48 and 3,778.95 is: 5,669.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.02 : 9,414.48 = 3,778.95 : x
  2. Step 2: Convert to fraction form
    6,275.02/9,414.48 = 3,778.95/x
  3. Step 3: Cross multiply
    6,275.02x = 9,414.48 × 3,778.95
  4. Step 4: Simplify right side
    6,275.02x = 35,576,830.30
  5. Step 5: Solve for x
    x = 35,576,830.30/6,275.02
  6. Step 6: Final answer
    x = 5,669.60

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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.