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Finding the Fourth Proportional to 9,685.28, 13,369.76 and 5,908.48

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Solution

The fourth proportional to 9,685.28, 13,369.76 and 5,908.48 is: 8,156.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.28 : 13,369.76 = 5,908.48 : x
  2. Step 2: Convert to fraction form
    9,685.28/13,369.76 = 5,908.48/x
  3. Step 3: Cross multiply
    9,685.28x = 13,369.76 × 5,908.48
  4. Step 4: Simplify right side
    9,685.28x = 78,994,959.56
  5. Step 5: Solve for x
    x = 78,994,959.56/9,685.28
  6. Step 6: Final answer
    x = 8,156.19

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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.