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Finding the Fourth Proportional to 7,141.69, 9,860.41 and 4,453.96

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Solution

The fourth proportional to 7,141.69, 9,860.41 and 4,453.96 is: 6,149.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,141.69 : 9,860.41 = 4,453.96 : x
  2. Step 2: Convert to fraction form
    7,141.69/9,860.41 = 4,453.96/x
  3. Step 3: Cross multiply
    7,141.69x = 9,860.41 × 4,453.96
  4. Step 4: Simplify right side
    7,141.69x = 43,917,886.33
  5. Step 5: Solve for x
    x = 43,917,886.33/7,141.69
  6. Step 6: Final answer
    x = 6,149.51

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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.