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Finding the Fourth Proportional to 6,505.67, 9,755.62 and 2,994.83

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Solution

The fourth proportional to 6,505.67, 9,755.62 and 2,994.83 is: 4,490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.67 : 9,755.62 = 2,994.83 : x
  2. Step 2: Convert to fraction form
    6,505.67/9,755.62 = 2,994.83/x
  3. Step 3: Cross multiply
    6,505.67x = 9,755.62 × 2,994.83
  4. Step 4: Simplify right side
    6,505.67x = 29,216,367.18
  5. Step 5: Solve for x
    x = 29,216,367.18/6,505.67
  6. Step 6: Final answer
    x = 4,490.91

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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.