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Finding the Fourth Proportional to 9,216.54, 13,822.38 and 2,641.19

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Solution

The fourth proportional to 9,216.54, 13,822.38 and 2,641.19 is: 3,961.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,216.54 : 13,822.38 = 2,641.19 : x
  2. Step 2: Convert to fraction form
    9,216.54/13,822.38 = 2,641.19/x
  3. Step 3: Cross multiply
    9,216.54x = 13,822.38 × 2,641.19
  4. Step 4: Simplify right side
    9,216.54x = 36,507,462.72
  5. Step 5: Solve for x
    x = 36,507,462.72/9,216.54
  6. Step 6: Final answer
    x = 3,961.08

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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.