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Finding the Fourth Proportional to 9,013.78, 13,523.41 and 3,170.39

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Solution

The fourth proportional to 9,013.78, 13,523.41 and 3,170.39 is: 4,756.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.78 : 13,523.41 = 3,170.39 : x
  2. Step 2: Convert to fraction form
    9,013.78/13,523.41 = 3,170.39/x
  3. Step 3: Cross multiply
    9,013.78x = 13,523.41 × 3,170.39
  4. Step 4: Simplify right side
    9,013.78x = 42,874,478.41
  5. Step 5: Solve for x
    x = 42,874,478.41/9,013.78
  6. Step 6: Final answer
    x = 4,756.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.