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Finding the Fourth Proportional to 9,819.56, 14,731.16 and 3,980.27

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Solution

The fourth proportional to 9,819.56, 14,731.16 and 3,980.27 is: 5,971.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819.56 : 14,731.16 = 3,980.27 : x
  2. Step 2: Convert to fraction form
    9,819.56/14,731.16 = 3,980.27/x
  3. Step 3: Cross multiply
    9,819.56x = 14,731.16 × 3,980.27
  4. Step 4: Simplify right side
    9,819.56x = 58,633,900.66
  5. Step 5: Solve for x
    x = 58,633,900.66/9,819.56
  6. Step 6: Final answer
    x = 5,971.14

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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.