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Finding the Fourth Proportional to 9,170.44, 13,752.30 and 3,013

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Solution

The fourth proportional to 9,170.44, 13,752.30 and 3,013 is: 4,518.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.44 : 13,752.30 = 3,013 : x
  2. Step 2: Convert to fraction form
    9,170.44/13,752.30 = 3,013/x
  3. Step 3: Cross multiply
    9,170.44x = 13,752.30 × 3,013
  4. Step 4: Simplify right side
    9,170.44x = 41,435,679.90
  5. Step 5: Solve for x
    x = 41,435,679.90/9,170.44
  6. Step 6: Final answer
    x = 4,518.40

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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.