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Finding the Fourth Proportional to 9,847.13, 13,589.03 and 7,331.40

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Solution

The fourth proportional to 9,847.13, 13,589.03 and 7,331.40 is: 10,117.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,847.13 : 13,589.03 = 7,331.40 : x
  2. Step 2: Convert to fraction form
    9,847.13/13,589.03 = 7,331.40/x
  3. Step 3: Cross multiply
    9,847.13x = 13,589.03 × 7,331.40
  4. Step 4: Simplify right side
    9,847.13x = 99,626,632.87
  5. Step 5: Solve for x
    x = 99,626,632.87/9,847.13
  6. Step 6: Final answer
    x = 10,117.33

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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.