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Finding the Fourth Proportional to 6,182.60, 9,275.82 and 2,022.63

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Solution

The fourth proportional to 6,182.60, 9,275.82 and 2,022.63 is: 3,034.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.60 : 9,275.82 = 2,022.63 : x
  2. Step 2: Convert to fraction form
    6,182.60/9,275.82 = 2,022.63/x
  3. Step 3: Cross multiply
    6,182.60x = 9,275.82 × 2,022.63
  4. Step 4: Simplify right side
    6,182.60x = 18,761,551.81
  5. Step 5: Solve for x
    x = 18,761,551.81/6,182.60
  6. Step 6: Final answer
    x = 3,034.58

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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.