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Finding the Fourth Proportional to 9,852.86, 14,781.39 and 2,832.81

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Solution

The fourth proportional to 9,852.86, 14,781.39 and 2,832.81 is: 4,249.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.86 : 14,781.39 = 2,832.81 : x
  2. Step 2: Convert to fraction form
    9,852.86/14,781.39 = 2,832.81/x
  3. Step 3: Cross multiply
    9,852.86x = 14,781.39 × 2,832.81
  4. Step 4: Simplify right side
    9,852.86x = 41,872,869.41
  5. Step 5: Solve for x
    x = 41,872,869.41/9,852.86
  6. Step 6: Final answer
    x = 4,249.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.