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Finding the Fourth Proportional to 6,341.22, 9,511.83 and 4,952.48

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Solution

The fourth proportional to 6,341.22, 9,511.83 and 4,952.48 is: 7,428.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.22 : 9,511.83 = 4,952.48 : x
  2. Step 2: Convert to fraction form
    6,341.22/9,511.83 = 4,952.48/x
  3. Step 3: Cross multiply
    6,341.22x = 9,511.83 × 4,952.48
  4. Step 4: Simplify right side
    6,341.22x = 47,107,100.28
  5. Step 5: Solve for x
    x = 47,107,100.28/6,341.22
  6. Step 6: Final answer
    x = 7,428.71

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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.