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Finding the Fourth Proportional to 9,452.74, 14,178.30 and 3,216.28

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Solution

The fourth proportional to 9,452.74, 14,178.30 and 3,216.28 is: 4,824.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.74 : 14,178.30 = 3,216.28 : x
  2. Step 2: Convert to fraction form
    9,452.74/14,178.30 = 3,216.28/x
  3. Step 3: Cross multiply
    9,452.74x = 14,178.30 × 3,216.28
  4. Step 4: Simplify right side
    9,452.74x = 45,601,382.72
  5. Step 5: Solve for x
    x = 45,601,382.72/9,452.74
  6. Step 6: Final answer
    x = 4,824.14

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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.