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Finding the Fourth Proportional to 6,022.66, 9,031.12 and 3,524.56

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Solution

The fourth proportional to 6,022.66, 9,031.12 and 3,524.56 is: 5,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,022.66 : 9,031.12 = 3,524.56 : x
  2. Step 2: Convert to fraction form
    6,022.66/9,031.12 = 3,524.56/x
  3. Step 3: Cross multiply
    6,022.66x = 9,031.12 × 3,524.56
  4. Step 4: Simplify right side
    6,022.66x = 31,830,724.31
  5. Step 5: Solve for x
    x = 31,830,724.31/6,022.66
  6. Step 6: Final answer
    x = 5,285.16

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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.