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Finding the Fourth Proportional to 9,129.75, 13,686.41 and 3,282.25

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Solution

The fourth proportional to 9,129.75, 13,686.41 and 3,282.25 is: 4,920.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,129.75 : 13,686.41 = 3,282.25 : x
  2. Step 2: Convert to fraction form
    9,129.75/13,686.41 = 3,282.25/x
  3. Step 3: Cross multiply
    9,129.75x = 13,686.41 × 3,282.25
  4. Step 4: Simplify right side
    9,129.75x = 44,922,219.22
  5. Step 5: Solve for x
    x = 44,922,219.22/9,129.75
  6. Step 6: Final answer
    x = 4,920.42

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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.