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Finding the Fourth Proportional to 9,141.44, 13,713.28 and 3,216.93

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Solution

The fourth proportional to 9,141.44, 13,713.28 and 3,216.93 is: 4,825.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.44 : 13,713.28 = 3,216.93 : x
  2. Step 2: Convert to fraction form
    9,141.44/13,713.28 = 3,216.93/x
  3. Step 3: Cross multiply
    9,141.44x = 13,713.28 × 3,216.93
  4. Step 4: Simplify right side
    9,141.44x = 44,114,593.26
  5. Step 5: Solve for x
    x = 44,114,593.26/9,141.44
  6. Step 6: Final answer
    x = 4,825.78

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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.