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Finding the Fourth Proportional to 6,905.49, 9,530.82 and 4,072.70

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Solution

The fourth proportional to 6,905.49, 9,530.82 and 4,072.70 is: 5,621.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,905.49 : 9,530.82 = 4,072.70 : x
  2. Step 2: Convert to fraction form
    6,905.49/9,530.82 = 4,072.70/x
  3. Step 3: Cross multiply
    6,905.49x = 9,530.82 × 4,072.70
  4. Step 4: Simplify right side
    6,905.49x = 38,816,122.96
  5. Step 5: Solve for x
    x = 38,816,122.96/6,905.49
  6. Step 6: Final answer
    x = 5,621.05

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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.