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Finding the Fourth Proportional to 9,744.78, 14,618.08 and 3,169.20

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Solution

The fourth proportional to 9,744.78, 14,618.08 and 3,169.20 is: 4,754.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.78 : 14,618.08 = 3,169.20 : x
  2. Step 2: Convert to fraction form
    9,744.78/14,618.08 = 3,169.20/x
  3. Step 3: Cross multiply
    9,744.78x = 14,618.08 × 3,169.20
  4. Step 4: Simplify right side
    9,744.78x = 46,327,619.14
  5. Step 5: Solve for x
    x = 46,327,619.14/9,744.78
  6. Step 6: Final answer
    x = 4,754.10

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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.