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Finding the Fourth Proportional to 9,977.33, 13,767.62 and 5,727.26

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Solution

The fourth proportional to 9,977.33, 13,767.62 and 5,727.26 is: 7,902.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.33 : 13,767.62 = 5,727.26 : x
  2. Step 2: Convert to fraction form
    9,977.33/13,767.62 = 5,727.26/x
  3. Step 3: Cross multiply
    9,977.33x = 13,767.62 × 5,727.26
  4. Step 4: Simplify right side
    9,977.33x = 78,850,641.85
  5. Step 5: Solve for x
    x = 78,850,641.85/9,977.33
  6. Step 6: Final answer
    x = 7,902.98

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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.