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Finding the Fourth Proportional to 6,988.63, 9,644.51 and 3,845.02

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Solution

The fourth proportional to 6,988.63, 9,644.51 and 3,845.02 is: 5,306.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,988.63 : 9,644.51 = 3,845.02 : x
  2. Step 2: Convert to fraction form
    6,988.63/9,644.51 = 3,845.02/x
  3. Step 3: Cross multiply
    6,988.63x = 9,644.51 × 3,845.02
  4. Step 4: Simplify right side
    6,988.63x = 37,083,333.84
  5. Step 5: Solve for x
    x = 37,083,333.84/6,988.63
  6. Step 6: Final answer
    x = 5,306.24

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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.