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Finding the Fourth Proportional to 6,238, 9,359.43 and 2,342.71

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Solution

The fourth proportional to 6,238, 9,359.43 and 2,342.71 is: 3,514.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238 : 9,359.43 = 2,342.71 : x
  2. Step 2: Convert to fraction form
    6,238/9,359.43 = 2,342.71/x
  3. Step 3: Cross multiply
    6,238x = 9,359.43 × 2,342.71
  4. Step 4: Simplify right side
    6,238x = 21,926,430.26
  5. Step 5: Solve for x
    x = 21,926,430.26/6,238
  6. Step 6: Final answer
    x = 3,514.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.