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Finding the Fourth Proportional to 9,225.08, 12,732.69 and 5,865.27

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Solution

The fourth proportional to 9,225.08, 12,732.69 and 5,865.27 is: 8,095.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,225.08 : 12,732.69 = 5,865.27 : x
  2. Step 2: Convert to fraction form
    9,225.08/12,732.69 = 5,865.27/x
  3. Step 3: Cross multiply
    9,225.08x = 12,732.69 × 5,865.27
  4. Step 4: Simplify right side
    9,225.08x = 74,680,664.68
  5. Step 5: Solve for x
    x = 74,680,664.68/9,225.08
  6. Step 6: Final answer
    x = 8,095.39

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Why These Related Problems?

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