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Finding the Fourth Proportional to 6,540.95, 9,025.74 and 3,708.65

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Solution

The fourth proportional to 6,540.95, 9,025.74 and 3,708.65 is: 5,117.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.95 : 9,025.74 = 3,708.65 : x
  2. Step 2: Convert to fraction form
    6,540.95/9,025.74 = 3,708.65/x
  3. Step 3: Cross multiply
    6,540.95x = 9,025.74 × 3,708.65
  4. Step 4: Simplify right side
    6,540.95x = 33,473,265.52
  5. Step 5: Solve for x
    x = 33,473,265.52/6,540.95
  6. Step 6: Final answer
    x = 5,117.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.