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Finding the Fourth Proportional to 9,885.46, 13,640.78 and 5,905.66

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Solution

The fourth proportional to 9,885.46, 13,640.78 and 5,905.66 is: 8,149.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,885.46 : 13,640.78 = 5,905.66 : x
  2. Step 2: Convert to fraction form
    9,885.46/13,640.78 = 5,905.66/x
  3. Step 3: Cross multiply
    9,885.46x = 13,640.78 × 5,905.66
  4. Step 4: Simplify right side
    9,885.46x = 80,557,808.81
  5. Step 5: Solve for x
    x = 80,557,808.81/9,885.46
  6. Step 6: Final answer
    x = 8,149.12

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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.