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Finding the Fourth Proportional to 9,282.24, 13,923.36 and 4,662

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Solution

The fourth proportional to 9,282.24, 13,923.36 and 4,662 is: 6,993

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.24 : 13,923.36 = 4,662 : x
  2. Step 2: Convert to fraction form
    9,282.24/13,923.36 = 4,662/x
  3. Step 3: Cross multiply
    9,282.24x = 13,923.36 × 4,662
  4. Step 4: Simplify right side
    9,282.24x = 64,910,704.32
  5. Step 5: Solve for x
    x = 64,910,704.32/9,282.24
  6. Step 6: Final answer
    x = 6,993

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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.