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Finding the Fourth Proportional to 6,616.96, 9,132 and 3,633.40

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Solution

The fourth proportional to 6,616.96, 9,132 and 3,633.40 is: 5,014.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616.96 : 9,132 = 3,633.40 : x
  2. Step 2: Convert to fraction form
    6,616.96/9,132 = 3,633.40/x
  3. Step 3: Cross multiply
    6,616.96x = 9,132 × 3,633.40
  4. Step 4: Simplify right side
    6,616.96x = 33,180,208.80
  5. Step 5: Solve for x
    x = 33,180,208.80/6,616.96
  6. Step 6: Final answer
    x = 5,014.42

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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.