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Finding the Fourth Proportional to 6,182.20, 9,275.86 and 3,408.63

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Solution

The fourth proportional to 6,182.20, 9,275.86 and 3,408.63 is: 5,114.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.20 : 9,275.86 = 3,408.63 : x
  2. Step 2: Convert to fraction form
    6,182.20/9,275.86 = 3,408.63/x
  3. Step 3: Cross multiply
    6,182.20x = 9,275.86 × 3,408.63
  4. Step 4: Simplify right side
    6,182.20x = 31,617,986.74
  5. Step 5: Solve for x
    x = 31,617,986.74/6,182.20
  6. Step 6: Final answer
    x = 5,114.36

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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.