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Finding the Fourth Proportional to 9,288.50, 13,932.75 and 3,132.50

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Solution

The fourth proportional to 9,288.50, 13,932.75 and 3,132.50 is: 4,698.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.50 : 13,932.75 = 3,132.50 : x
  2. Step 2: Convert to fraction form
    9,288.50/13,932.75 = 3,132.50/x
  3. Step 3: Cross multiply
    9,288.50x = 13,932.75 × 3,132.50
  4. Step 4: Simplify right side
    9,288.50x = 43,644,339.38
  5. Step 5: Solve for x
    x = 43,644,339.38/9,288.50
  6. Step 6: Final answer
    x = 4,698.75

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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.