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Finding the Fourth Proportional to 9,976.14, 13,767.16 and 5,500.06

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Solution

The fourth proportional to 9,976.14, 13,767.16 and 5,500.06 is: 7,590.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,976.14 : 13,767.16 = 5,500.06 : x
  2. Step 2: Convert to fraction form
    9,976.14/13,767.16 = 5,500.06/x
  3. Step 3: Cross multiply
    9,976.14x = 13,767.16 × 5,500.06
  4. Step 4: Simplify right side
    9,976.14x = 75,720,206.03
  5. Step 5: Solve for x
    x = 75,720,206.03/9,976.14
  6. Step 6: Final answer
    x = 7,590.13

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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.