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Finding the Fourth Proportional to 9,122.26, 13,680.03 and 3,277.30

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Solution

The fourth proportional to 9,122.26, 13,680.03 and 3,277.30 is: 4,914.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.26 : 13,680.03 = 3,277.30 : x
  2. Step 2: Convert to fraction form
    9,122.26/13,680.03 = 3,277.30/x
  3. Step 3: Cross multiply
    9,122.26x = 13,680.03 × 3,277.30
  4. Step 4: Simplify right side
    9,122.26x = 44,833,562.32
  5. Step 5: Solve for x
    x = 44,833,562.32/9,122.26
  6. Step 6: Final answer
    x = 4,914.74

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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.