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Finding the Fourth Proportional to 9,980.24, 13,772.83 and 5,504.15

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Solution

The fourth proportional to 9,980.24, 13,772.83 and 5,504.15 is: 7,595.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,980.24 : 13,772.83 = 5,504.15 : x
  2. Step 2: Convert to fraction form
    9,980.24/13,772.83 = 5,504.15/x
  3. Step 3: Cross multiply
    9,980.24x = 13,772.83 × 5,504.15
  4. Step 4: Simplify right side
    9,980.24x = 75,807,722.24
  5. Step 5: Solve for x
    x = 75,807,722.24/9,980.24
  6. Step 6: Final answer
    x = 7,595.78

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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.