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Finding the Fourth Proportional to 6,534.43, 9,016.46 and 4,297.21

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Solution

The fourth proportional to 6,534.43, 9,016.46 and 4,297.21 is: 5,929.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.43 : 9,016.46 = 4,297.21 : x
  2. Step 2: Convert to fraction form
    6,534.43/9,016.46 = 4,297.21/x
  3. Step 3: Cross multiply
    6,534.43x = 9,016.46 × 4,297.21
  4. Step 4: Simplify right side
    6,534.43x = 38,745,576.99
  5. Step 5: Solve for x
    x = 38,745,576.99/6,534.43
  6. Step 6: Final answer
    x = 5,929.45

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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.