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Finding the Fourth Proportional to 9,402.92, 12,976 and 5,211.16

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Solution

The fourth proportional to 9,402.92, 12,976 and 5,211.16 is: 7,191.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.92 : 12,976 = 5,211.16 : x
  2. Step 2: Convert to fraction form
    9,402.92/12,976 = 5,211.16/x
  3. Step 3: Cross multiply
    9,402.92x = 12,976 × 5,211.16
  4. Step 4: Simplify right side
    9,402.92x = 67,620,012.16
  5. Step 5: Solve for x
    x = 67,620,012.16/9,402.92
  6. Step 6: Final answer
    x = 7,191.38

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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.