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Finding the Fourth Proportional to 6,120.95, 9,184.46 and 2,425.82

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Solution

The fourth proportional to 6,120.95, 9,184.46 and 2,425.82 is: 3,639.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.95 : 9,184.46 = 2,425.82 : x
  2. Step 2: Convert to fraction form
    6,120.95/9,184.46 = 2,425.82/x
  3. Step 3: Cross multiply
    6,120.95x = 9,184.46 × 2,425.82
  4. Step 4: Simplify right side
    6,120.95x = 22,279,788.71
  5. Step 5: Solve for x
    x = 22,279,788.71/6,120.95
  6. Step 6: Final answer
    x = 3,639.93

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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.