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Finding the Fourth Proportional to 6,630.40, 9,149.83 and 3,646.20

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Solution

The fourth proportional to 6,630.40, 9,149.83 and 3,646.20 is: 5,031.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630.40 : 9,149.83 = 3,646.20 : x
  2. Step 2: Convert to fraction form
    6,630.40/9,149.83 = 3,646.20/x
  3. Step 3: Cross multiply
    6,630.40x = 9,149.83 × 3,646.20
  4. Step 4: Simplify right side
    6,630.40x = 33,362,110.15
  5. Step 5: Solve for x
    x = 33,362,110.15/6,630.40
  6. Step 6: Final answer
    x = 5,031.69

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