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Finding the Fourth Proportional to 7,196.31, 9,935.87 and 5,514.75

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Solution

The fourth proportional to 7,196.31, 9,935.87 and 5,514.75 is: 7,614.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,196.31 : 9,935.87 = 5,514.75 : x
  2. Step 2: Convert to fraction form
    7,196.31/9,935.87 = 5,514.75/x
  3. Step 3: Cross multiply
    7,196.31x = 9,935.87 × 5,514.75
  4. Step 4: Simplify right side
    7,196.31x = 54,793,811.51
  5. Step 5: Solve for x
    x = 54,793,811.51/7,196.31
  6. Step 6: Final answer
    x = 7,614.15

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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.