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Finding the Fourth Proportional to 9,885.38, 13,641.96 and 5,906.84

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Solution

The fourth proportional to 9,885.38, 13,641.96 and 5,906.84 is: 8,151.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.38 : 13,641.96 = 5,906.84 : x
  2. Step 2: Convert to fraction form
    9,885.38/13,641.96 = 5,906.84/x
  3. Step 3: Cross multiply
    9,885.38x = 13,641.96 × 5,906.84
  4. Step 4: Simplify right side
    9,885.38x = 80,580,875.01
  5. Step 5: Solve for x
    x = 80,580,875.01/9,885.38
  6. Step 6: Final answer
    x = 8,151.52

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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.