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Finding the Fourth Proportional to 6,162.68, 9,252.57 and 4,284.14

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Solution

The fourth proportional to 6,162.68, 9,252.57 and 4,284.14 is: 6,432.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,162.68 : 9,252.57 = 4,284.14 : x
  2. Step 2: Convert to fraction form
    6,162.68/9,252.57 = 4,284.14/x
  3. Step 3: Cross multiply
    6,162.68x = 9,252.57 × 4,284.14
  4. Step 4: Simplify right side
    6,162.68x = 39,639,305.24
  5. Step 5: Solve for x
    x = 39,639,305.24/6,162.68
  6. Step 6: Final answer
    x = 6,432.15

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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.