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Finding the Fourth Proportional to 9,182.80, 13,772.64 and 2,607.52

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Solution

The fourth proportional to 9,182.80, 13,772.64 and 2,607.52 is: 3,910.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.80 : 13,772.64 = 2,607.52 : x
  2. Step 2: Convert to fraction form
    9,182.80/13,772.64 = 2,607.52/x
  3. Step 3: Cross multiply
    9,182.80x = 13,772.64 × 2,607.52
  4. Step 4: Simplify right side
    9,182.80x = 35,912,434.25
  5. Step 5: Solve for x
    x = 35,912,434.25/9,182.80
  6. Step 6: Final answer
    x = 3,910.84

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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.