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Finding the Fourth Proportional to 6,237.86, 9,357.78 and 2,342.56

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Solution

The fourth proportional to 6,237.86, 9,357.78 and 2,342.56 is: 3,514.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,237.86 : 9,357.78 = 2,342.56 : x
  2. Step 2: Convert to fraction form
    6,237.86/9,357.78 = 2,342.56/x
  3. Step 3: Cross multiply
    6,237.86x = 9,357.78 × 2,342.56
  4. Step 4: Simplify right side
    6,237.86x = 21,921,161.12
  5. Step 5: Solve for x
    x = 21,921,161.12/6,237.86
  6. Step 6: Final answer
    x = 3,514.21

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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.