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Finding the Fourth Proportional to 9,132.80, 13,695.60 and 3,286.40

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Solution

The fourth proportional to 9,132.80, 13,695.60 and 3,286.40 is: 4,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,132.80 : 13,695.60 = 3,286.40 : x
  2. Step 2: Convert to fraction form
    9,132.80/13,695.60 = 3,286.40/x
  3. Step 3: Cross multiply
    9,132.80x = 13,695.60 × 3,286.40
  4. Step 4: Simplify right side
    9,132.80x = 45,009,219.84
  5. Step 5: Solve for x
    x = 45,009,219.84/9,132.80
  6. Step 6: Final answer
    x = 4,928.30

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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.