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Finding the Fourth Proportional to 6,182.54, 9,275.46 and 2,484.92

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Solution

The fourth proportional to 6,182.54, 9,275.46 and 2,484.92 is: 3,728.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,182.54 : 9,275.46 = 2,484.92 : x
  2. Step 2: Convert to fraction form
    6,182.54/9,275.46 = 2,484.92/x
  3. Step 3: Cross multiply
    6,182.54x = 9,275.46 × 2,484.92
  4. Step 4: Simplify right side
    6,182.54x = 23,048,776.06
  5. Step 5: Solve for x
    x = 23,048,776.06/6,182.54
  6. Step 6: Final answer
    x = 3,728.04

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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.