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Finding the Fourth Proportional to 6,989.04, 9,644.88 and 3,845.28

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Solution

The fourth proportional to 6,989.04, 9,644.88 and 3,845.28 is: 5,306.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.04 : 9,644.88 = 3,845.28 : x
  2. Step 2: Convert to fraction form
    6,989.04/9,644.88 = 3,845.28/x
  3. Step 3: Cross multiply
    6,989.04x = 9,644.88 × 3,845.28
  4. Step 4: Simplify right side
    6,989.04x = 37,087,264.17
  5. Step 5: Solve for x
    x = 37,087,264.17/6,989.04
  6. Step 6: Final answer
    x = 5,306.49

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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.