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Finding the Fourth Proportional to 8,877.84, 12,256.20 and 6,469.80

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Solution

The fourth proportional to 8,877.84, 12,256.20 and 6,469.80 is: 8,931.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,877.84 : 12,256.20 = 6,469.80 : x
  2. Step 2: Convert to fraction form
    8,877.84/12,256.20 = 6,469.80/x
  3. Step 3: Cross multiply
    8,877.84x = 12,256.20 × 6,469.80
  4. Step 4: Simplify right side
    8,877.84x = 79,295,162.76
  5. Step 5: Solve for x
    x = 79,295,162.76/8,877.84
  6. Step 6: Final answer
    x = 8,931.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.