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Finding the Fourth Proportional to 9,801.14, 14,701.70 and 3,957.80

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Solution

The fourth proportional to 9,801.14, 14,701.70 and 3,957.80 is: 5,936.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,801.14 : 14,701.70 = 3,957.80 : x
  2. Step 2: Convert to fraction form
    9,801.14/14,701.70 = 3,957.80/x
  3. Step 3: Cross multiply
    9,801.14x = 14,701.70 × 3,957.80
  4. Step 4: Simplify right side
    9,801.14x = 58,186,324.65
  5. Step 5: Solve for x
    x = 58,186,324.65/9,801.14
  6. Step 6: Final answer
    x = 5,936.69

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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.