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Finding the Fourth Proportional to 9,744.80, 14,617.20 and 5,583.20

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Solution

The fourth proportional to 9,744.80, 14,617.20 and 5,583.20 is: 8,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.80 : 14,617.20 = 5,583.20 : x
  2. Step 2: Convert to fraction form
    9,744.80/14,617.20 = 5,583.20/x
  3. Step 3: Cross multiply
    9,744.80x = 14,617.20 × 5,583.20
  4. Step 4: Simplify right side
    9,744.80x = 81,610,751.04
  5. Step 5: Solve for x
    x = 81,610,751.04/9,744.80
  6. Step 6: Final answer
    x = 8,374.80

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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.