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Finding the Fourth Proportional to 6,182.61, 9,275.43 and 2,022.84

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Solution

The fourth proportional to 6,182.61, 9,275.43 and 2,022.84 is: 3,034.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.61 : 9,275.43 = 2,022.84 : x
  2. Step 2: Convert to fraction form
    6,182.61/9,275.43 = 2,022.84/x
  3. Step 3: Cross multiply
    6,182.61x = 9,275.43 × 2,022.84
  4. Step 4: Simplify right side
    6,182.61x = 18,762,710.82
  5. Step 5: Solve for x
    x = 18,762,710.82/6,182.61
  6. Step 6: Final answer
    x = 3,034.76

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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.