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Finding the Fourth Proportional to 9,270.38, 12,793.13 and 5,078.63

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Solution

The fourth proportional to 9,270.38, 12,793.13 and 5,078.63 is: 7,008.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,270.38 : 12,793.13 = 5,078.63 : x
  2. Step 2: Convert to fraction form
    9,270.38/12,793.13 = 5,078.63/x
  3. Step 3: Cross multiply
    9,270.38x = 12,793.13 × 5,078.63
  4. Step 4: Simplify right side
    9,270.38x = 64,971,484.45
  5. Step 5: Solve for x
    x = 64,971,484.45/9,270.38
  6. Step 6: Final answer
    x = 7,008.51

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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.