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Finding the Fourth Proportional to 9,270.39, 12,794.07 and 5,292.12

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Solution

The fourth proportional to 9,270.39, 12,794.07 and 5,292.12 is: 7,303.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.39 : 12,794.07 = 5,292.12 : x
  2. Step 2: Convert to fraction form
    9,270.39/12,794.07 = 5,292.12/x
  3. Step 3: Cross multiply
    9,270.39x = 12,794.07 × 5,292.12
  4. Step 4: Simplify right side
    9,270.39x = 67,707,753.73
  5. Step 5: Solve for x
    x = 67,707,753.73/9,270.39
  6. Step 6: Final answer
    x = 7,303.66

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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.