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Finding the Fourth Proportional to 6,841.46, 9,440.03 and 3,969.15

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Solution

The fourth proportional to 6,841.46, 9,440.03 and 3,969.15 is: 5,476.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.46 : 9,440.03 = 3,969.15 : x
  2. Step 2: Convert to fraction form
    6,841.46/9,440.03 = 3,969.15/x
  3. Step 3: Cross multiply
    6,841.46x = 9,440.03 × 3,969.15
  4. Step 4: Simplify right side
    6,841.46x = 37,468,881.40
  5. Step 5: Solve for x
    x = 37,468,881.40/6,841.46
  6. Step 6: Final answer
    x = 5,476.74

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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.