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Finding the Fourth Proportional to 6,207.62, 9,313.34 and 1,991.49

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Solution

The fourth proportional to 6,207.62, 9,313.34 and 1,991.49 is: 2,987.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.62 : 9,313.34 = 1,991.49 : x
  2. Step 2: Convert to fraction form
    6,207.62/9,313.34 = 1,991.49/x
  3. Step 3: Cross multiply
    6,207.62x = 9,313.34 × 1,991.49
  4. Step 4: Simplify right side
    6,207.62x = 18,547,413.52
  5. Step 5: Solve for x
    x = 18,547,413.52/6,207.62
  6. Step 6: Final answer
    x = 2,987.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.