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Finding the Fourth Proportional to 8,784.38, 12,115.47 and 6,638.09

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Solution

The fourth proportional to 8,784.38, 12,115.47 and 6,638.09 is: 9,155.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,784.38 : 12,115.47 = 6,638.09 : x
  2. Step 2: Convert to fraction form
    8,784.38/12,115.47 = 6,638.09/x
  3. Step 3: Cross multiply
    8,784.38x = 12,115.47 × 6,638.09
  4. Step 4: Simplify right side
    8,784.38x = 80,423,580.25
  5. Step 5: Solve for x
    x = 80,423,580.25/8,784.38
  6. Step 6: Final answer
    x = 9,155.29

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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.