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Finding the Fourth Proportional to 9,131.76, 13,700.16 and 3,288.24

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Solution

The fourth proportional to 9,131.76, 13,700.16 and 3,288.24 is: 4,933.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,131.76 : 13,700.16 = 3,288.24 : x
  2. Step 2: Convert to fraction form
    9,131.76/13,700.16 = 3,288.24/x
  3. Step 3: Cross multiply
    9,131.76x = 13,700.16 × 3,288.24
  4. Step 4: Simplify right side
    9,131.76x = 45,049,414.12
  5. Step 5: Solve for x
    x = 45,049,414.12/9,131.76
  6. Step 6: Final answer
    x = 4,933.27

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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.