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Finding the Fourth Proportional to 6,341.31, 9,511.97 and 4,228.47

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Solution

The fourth proportional to 6,341.31, 9,511.97 and 4,228.47 is: 6,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.31 : 9,511.97 = 4,228.47 : x
  2. Step 2: Convert to fraction form
    6,341.31/9,511.97 = 4,228.47/x
  3. Step 3: Cross multiply
    6,341.31x = 9,511.97 × 4,228.47
  4. Step 4: Simplify right side
    6,341.31x = 40,221,058.64
  5. Step 5: Solve for x
    x = 40,221,058.64/6,341.31
  6. Step 6: Final answer
    x = 6,342.71

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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.