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Finding the Fourth Proportional to 6,505.64, 9,755.57 and 2,994.79

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Solution

The fourth proportional to 6,505.64, 9,755.57 and 2,994.79 is: 4,490.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.64 : 9,755.57 = 2,994.79 : x
  2. Step 2: Convert to fraction form
    6,505.64/9,755.57 = 2,994.79/x
  3. Step 3: Cross multiply
    6,505.64x = 9,755.57 × 2,994.79
  4. Step 4: Simplify right side
    6,505.64x = 29,215,883.48
  5. Step 5: Solve for x
    x = 29,215,883.48/6,505.64
  6. Step 6: Final answer
    x = 4,490.85

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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.