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Finding the Fourth Proportional to 9,216, 13,824.15 and 3,372.57

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Solution

The fourth proportional to 9,216, 13,824.15 and 3,372.57 is: 5,058.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216 : 13,824.15 = 3,372.57 : x
  2. Step 2: Convert to fraction form
    9,216/13,824.15 = 3,372.57/x
  3. Step 3: Cross multiply
    9,216x = 13,824.15 × 3,372.57
  4. Step 4: Simplify right side
    9,216x = 46,622,913.57
  5. Step 5: Solve for x
    x = 46,622,913.57/9,216
  6. Step 6: Final answer
    x = 5,058.91

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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.