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Finding the Fourth Proportional to 6,630.69, 9,149.76 and 3,645.78

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Solution

The fourth proportional to 6,630.69, 9,149.76 and 3,645.78 is: 5,030.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,630.69 : 9,149.76 = 3,645.78 : x
  2. Step 2: Convert to fraction form
    6,630.69/9,149.76 = 3,645.78/x
  3. Step 3: Cross multiply
    6,630.69x = 9,149.76 × 3,645.78
  4. Step 4: Simplify right side
    6,630.69x = 33,357,977.70
  5. Step 5: Solve for x
    x = 33,357,977.70/6,630.69
  6. Step 6: Final answer
    x = 5,030.84

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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.