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Finding the Fourth Proportional to 6,850.61, 9,448.76 and 4,161.82

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Solution

The fourth proportional to 6,850.61, 9,448.76 and 4,161.82 is: 5,740.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,850.61 : 9,448.76 = 4,161.82 : x
  2. Step 2: Convert to fraction form
    6,850.61/9,448.76 = 4,161.82/x
  3. Step 3: Cross multiply
    6,850.61x = 9,448.76 × 4,161.82
  4. Step 4: Simplify right side
    6,850.61x = 39,323,970.29
  5. Step 5: Solve for x
    x = 39,323,970.29/6,850.61
  6. Step 6: Final answer
    x = 5,740.21

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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.