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Finding the Fourth Proportional to 9,684.13, 13,365.63 and 5,908.12

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Solution

The fourth proportional to 9,684.13, 13,365.63 and 5,908.12 is: 8,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.13 : 13,365.63 = 5,908.12 : x
  2. Step 2: Convert to fraction form
    9,684.13/13,365.63 = 5,908.12/x
  3. Step 3: Cross multiply
    9,684.13x = 13,365.63 × 5,908.12
  4. Step 4: Simplify right side
    9,684.13x = 78,965,745.92
  5. Step 5: Solve for x
    x = 78,965,745.92/9,684.13
  6. Step 6: Final answer
    x = 8,154.14

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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.