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Finding the Fourth Proportional to 9,976.46, 13,767.44 and 5,500.26

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Solution

The fourth proportional to 9,976.46, 13,767.44 and 5,500.26 is: 7,590.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.46 : 13,767.44 = 5,500.26 : x
  2. Step 2: Convert to fraction form
    9,976.46/13,767.44 = 5,500.26/x
  3. Step 3: Cross multiply
    9,976.46x = 13,767.44 × 5,500.26
  4. Step 4: Simplify right side
    9,976.46x = 75,724,472.03
  5. Step 5: Solve for x
    x = 75,724,472.03/9,976.46
  6. Step 6: Final answer
    x = 7,590.32

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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.