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Finding the Fourth Proportional to 9,935.16, 13,711.76 and 5,743.42

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Solution

The fourth proportional to 9,935.16, 13,711.76 and 5,743.42 is: 7,926.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.16 : 13,711.76 = 5,743.42 : x
  2. Step 2: Convert to fraction form
    9,935.16/13,711.76 = 5,743.42/x
  3. Step 3: Cross multiply
    9,935.16x = 13,711.76 × 5,743.42
  4. Step 4: Simplify right side
    9,935.16x = 78,752,396.62
  5. Step 5: Solve for x
    x = 78,752,396.62/9,935.16
  6. Step 6: Final answer
    x = 7,926.64

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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.