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Finding the Fourth Proportional to 6,384.93, 9,553.80 and 3,877.17

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Solution

The fourth proportional to 6,384.93, 9,553.80 and 3,877.17 is: 5,801.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,384.93 : 9,553.80 = 3,877.17 : x
  2. Step 2: Convert to fraction form
    6,384.93/9,553.80 = 3,877.17/x
  3. Step 3: Cross multiply
    6,384.93x = 9,553.80 × 3,877.17
  4. Step 4: Simplify right side
    6,384.93x = 37,041,706.75
  5. Step 5: Solve for x
    x = 37,041,706.75/6,384.93
  6. Step 6: Final answer
    x = 5,801.43

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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.