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Finding the Fourth Proportional to 9,344.13, 12,894.92 and 5,152.38

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Solution

The fourth proportional to 9,344.13, 12,894.92 and 5,152.38 is: 7,110.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.13 : 12,894.92 = 5,152.38 : x
  2. Step 2: Convert to fraction form
    9,344.13/12,894.92 = 5,152.38/x
  3. Step 3: Cross multiply
    9,344.13x = 12,894.92 × 5,152.38
  4. Step 4: Simplify right side
    9,344.13x = 66,439,527.91
  5. Step 5: Solve for x
    x = 66,439,527.91/9,344.13
  6. Step 6: Final answer
    x = 7,110.30

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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.