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Finding the Fourth Proportional to 9,261.86, 12,781.38 and 5,012.94

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Solution

The fourth proportional to 9,261.86, 12,781.38 and 5,012.94 is: 6,917.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.86 : 12,781.38 = 5,012.94 : x
  2. Step 2: Convert to fraction form
    9,261.86/12,781.38 = 5,012.94/x
  3. Step 3: Cross multiply
    9,261.86x = 12,781.38 × 5,012.94
  4. Step 4: Simplify right side
    9,261.86x = 64,072,257.69
  5. Step 5: Solve for x
    x = 64,072,257.69/9,261.86
  6. Step 6: Final answer
    x = 6,917.86

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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.