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Finding the Fourth Proportional to 9,132.15, 13,698.21 and 3,288.75

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Solution

The fourth proportional to 9,132.15, 13,698.21 and 3,288.75 is: 4,933.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.15 : 13,698.21 = 3,288.75 : x
  2. Step 2: Convert to fraction form
    9,132.15/13,698.21 = 3,288.75/x
  3. Step 3: Cross multiply
    9,132.15x = 13,698.21 × 3,288.75
  4. Step 4: Simplify right side
    9,132.15x = 45,049,988.14
  5. Step 5: Solve for x
    x = 45,049,988.14/9,132.15
  6. Step 6: Final answer
    x = 4,933.12

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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.