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Finding the Fourth Proportional to 9,076.84, 12,517.71 and 5,886.80

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Solution

The fourth proportional to 9,076.84, 12,517.71 and 5,886.80 is: 8,118.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.84 : 12,517.71 = 5,886.80 : x
  2. Step 2: Convert to fraction form
    9,076.84/12,517.71 = 5,886.80/x
  3. Step 3: Cross multiply
    9,076.84x = 12,517.71 × 5,886.80
  4. Step 4: Simplify right side
    9,076.84x = 73,689,255.23
  5. Step 5: Solve for x
    x = 73,689,255.23/9,076.84
  6. Step 6: Final answer
    x = 8,118.38

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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.