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Finding the Fourth Proportional to 9,264.62, 13,898.46 and 3,022.82

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Solution

The fourth proportional to 9,264.62, 13,898.46 and 3,022.82 is: 4,534.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.62 : 13,898.46 = 3,022.82 : x
  2. Step 2: Convert to fraction form
    9,264.62/13,898.46 = 3,022.82/x
  3. Step 3: Cross multiply
    9,264.62x = 13,898.46 × 3,022.82
  4. Step 4: Simplify right side
    9,264.62x = 42,012,542.86
  5. Step 5: Solve for x
    x = 42,012,542.86/9,264.62
  6. Step 6: Final answer
    x = 4,534.73

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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.