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Finding the Fourth Proportional to 6,705.36, 9,251.94 and 4,052.70

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Solution

The fourth proportional to 6,705.36, 9,251.94 and 4,052.70 is: 5,591.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.36 : 9,251.94 = 4,052.70 : x
  2. Step 2: Convert to fraction form
    6,705.36/9,251.94 = 4,052.70/x
  3. Step 3: Cross multiply
    6,705.36x = 9,251.94 × 4,052.70
  4. Step 4: Simplify right side
    6,705.36x = 37,495,337.24
  5. Step 5: Solve for x
    x = 37,495,337.24/6,705.36
  6. Step 6: Final answer
    x = 5,591.85

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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.