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Finding the Fourth Proportional to 9,976.77, 13,768.04 and 5,500.68

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Solution

The fourth proportional to 9,976.77, 13,768.04 and 5,500.68 is: 7,590.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.77 : 13,768.04 = 5,500.68 : x
  2. Step 2: Convert to fraction form
    9,976.77/13,768.04 = 5,500.68/x
  3. Step 3: Cross multiply
    9,976.77x = 13,768.04 × 5,500.68
  4. Step 4: Simplify right side
    9,976.77x = 75,733,554.76
  5. Step 5: Solve for x
    x = 75,733,554.76/9,976.77
  6. Step 6: Final answer
    x = 7,590.99

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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.