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Finding the Fourth Proportional to 6,505.49, 9,754.18 and 2,122.31

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Solution

The fourth proportional to 6,505.49, 9,754.18 and 2,122.31 is: 3,182.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,505.49 : 9,754.18 = 2,122.31 : x
  2. Step 2: Convert to fraction form
    6,505.49/9,754.18 = 2,122.31/x
  3. Step 3: Cross multiply
    6,505.49x = 9,754.18 × 2,122.31
  4. Step 4: Simplify right side
    6,505.49x = 20,701,393.76
  5. Step 5: Solve for x
    x = 20,701,393.76/6,505.49
  6. Step 6: Final answer
    x = 3,182.14

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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.