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Finding the Fourth Proportional to 9,614.08, 13,240.84 and 8,287.30

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Solution

The fourth proportional to 9,614.08, 13,240.84 and 8,287.30 is: 11,413.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.08 : 13,240.84 = 8,287.30 : x
  2. Step 2: Convert to fraction form
    9,614.08/13,240.84 = 8,287.30/x
  3. Step 3: Cross multiply
    9,614.08x = 13,240.84 × 8,287.30
  4. Step 4: Simplify right side
    9,614.08x = 109,730,813.33
  5. Step 5: Solve for x
    x = 109,730,813.33/9,614.08
  6. Step 6: Final answer
    x = 11,413.55

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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.