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Finding the Fourth Proportional to 9,686.26, 13,363.44 and 5,908.12

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Solution

The fourth proportional to 9,686.26, 13,363.44 and 5,908.12 is: 8,151.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.26 : 13,363.44 = 5,908.12 : x
  2. Step 2: Convert to fraction form
    9,686.26/13,363.44 = 5,908.12/x
  3. Step 3: Cross multiply
    9,686.26x = 13,363.44 × 5,908.12
  4. Step 4: Simplify right side
    9,686.26x = 78,952,807.13
  5. Step 5: Solve for x
    x = 78,952,807.13/9,686.26
  6. Step 6: Final answer
    x = 8,151.01

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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.