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Finding the Fourth Proportional to 6,864.94, 9,474.36 and 3,841.16

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Solution

The fourth proportional to 6,864.94, 9,474.36 and 3,841.16 is: 5,301.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,864.94 : 9,474.36 = 3,841.16 : x
  2. Step 2: Convert to fraction form
    6,864.94/9,474.36 = 3,841.16/x
  3. Step 3: Cross multiply
    6,864.94x = 9,474.36 × 3,841.16
  4. Step 4: Simplify right side
    6,864.94x = 36,392,532.66
  5. Step 5: Solve for x
    x = 36,392,532.66/6,864.94
  6. Step 6: Final answer
    x = 5,301.22

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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.