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Finding the Fourth Proportional to 6,320.80, 9,473.82 and 4,755.78

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Solution

The fourth proportional to 6,320.80, 9,473.82 and 4,755.78 is: 7,128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,320.80 : 9,473.82 = 4,755.78 : x
  2. Step 2: Convert to fraction form
    6,320.80/9,473.82 = 4,755.78/x
  3. Step 3: Cross multiply
    6,320.80x = 9,473.82 × 4,755.78
  4. Step 4: Simplify right side
    6,320.80x = 45,055,403.68
  5. Step 5: Solve for x
    x = 45,055,403.68/6,320.80
  6. Step 6: Final answer
    x = 7,128.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.