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Finding the Fourth Proportional to 7,146.44, 9,861.52 and 4,002.20

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Solution

The fourth proportional to 7,146.44, 9,861.52 and 4,002.20 is: 5,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,146.44 : 9,861.52 = 4,002.20 : x
  2. Step 2: Convert to fraction form
    7,146.44/9,861.52 = 4,002.20/x
  3. Step 3: Cross multiply
    7,146.44x = 9,861.52 × 4,002.20
  4. Step 4: Simplify right side
    7,146.44x = 39,467,775.34
  5. Step 5: Solve for x
    x = 39,467,775.34/7,146.44
  6. Step 6: Final answer
    x = 5,522.72

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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.