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Finding the Fourth Proportional to 6,425.65, 9,639.08 and 2,478.27

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Solution

The fourth proportional to 6,425.65, 9,639.08 and 2,478.27 is: 3,717.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.65 : 9,639.08 = 2,478.27 : x
  2. Step 2: Convert to fraction form
    6,425.65/9,639.08 = 2,478.27/x
  3. Step 3: Cross multiply
    6,425.65x = 9,639.08 × 2,478.27
  4. Step 4: Simplify right side
    6,425.65x = 23,888,242.79
  5. Step 5: Solve for x
    x = 23,888,242.79/6,425.65
  6. Step 6: Final answer
    x = 3,717.64

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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.