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Finding the Fourth Proportional to 9,325.76, 12,865.38 and 5,968.04

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Solution

The fourth proportional to 9,325.76, 12,865.38 and 5,968.04 is: 8,233.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325.76 : 12,865.38 = 5,968.04 : x
  2. Step 2: Convert to fraction form
    9,325.76/12,865.38 = 5,968.04/x
  3. Step 3: Cross multiply
    9,325.76x = 12,865.38 × 5,968.04
  4. Step 4: Simplify right side
    9,325.76x = 76,781,102.46
  5. Step 5: Solve for x
    x = 76,781,102.46/9,325.76
  6. Step 6: Final answer
    x = 8,233.23

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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.