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Finding the Fourth Proportional to 6,988.93, 9,644.50 and 3,845.11

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Solution

The fourth proportional to 6,988.93, 9,644.50 and 3,845.11 is: 5,306.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.93 : 9,644.50 = 3,845.11 : x
  2. Step 2: Convert to fraction form
    6,988.93/9,644.50 = 3,845.11/x
  3. Step 3: Cross multiply
    6,988.93x = 9,644.50 × 3,845.11
  4. Step 4: Simplify right side
    6,988.93x = 37,084,163.40
  5. Step 5: Solve for x
    x = 37,084,163.40/6,988.93
  6. Step 6: Final answer
    x = 5,306.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.