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Finding the Fourth Proportional to 9,310.71, 12,850.77 and 5,725.65

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Solution

The fourth proportional to 9,310.71, 12,850.77 and 5,725.65 is: 7,902.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,310.71 : 12,850.77 = 5,725.65 : x
  2. Step 2: Convert to fraction form
    9,310.71/12,850.77 = 5,725.65/x
  3. Step 3: Cross multiply
    9,310.71x = 12,850.77 × 5,725.65
  4. Step 4: Simplify right side
    9,310.71x = 73,579,011.25
  5. Step 5: Solve for x
    x = 73,579,011.25/9,310.71
  6. Step 6: Final answer
    x = 7,902.62

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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.