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Finding the Fourth Proportional to 8,834.38, 13,222.72 and 6,493.77

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Solution

The fourth proportional to 8,834.38, 13,222.72 and 6,493.77 is: 9,719.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834.38 : 13,222.72 = 6,493.77 : x
  2. Step 2: Convert to fraction form
    8,834.38/13,222.72 = 6,493.77/x
  3. Step 3: Cross multiply
    8,834.38x = 13,222.72 × 6,493.77
  4. Step 4: Simplify right side
    8,834.38x = 85,865,302.45
  5. Step 5: Solve for x
    x = 85,865,302.45/8,834.38
  6. Step 6: Final answer
    x = 9,719.45

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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.