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Finding the Fourth Proportional to 9,638.46, 13,204.49 and 9,278.69

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Solution

The fourth proportional to 9,638.46, 13,204.49 and 9,278.69 is: 12,711.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.46 : 13,204.49 = 9,278.69 : x
  2. Step 2: Convert to fraction form
    9,638.46/13,204.49 = 9,278.69/x
  3. Step 3: Cross multiply
    9,638.46x = 13,204.49 × 9,278.69
  4. Step 4: Simplify right side
    9,638.46x = 122,520,256.90
  5. Step 5: Solve for x
    x = 122,520,256.90/9,638.46
  6. Step 6: Final answer
    x = 12,711.60

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.