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Finding the Fourth Proportional to 9,069.84, 13,609.44 and 3,874.32

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Solution

The fourth proportional to 9,069.84, 13,609.44 and 3,874.32 is: 5,813.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,069.84 : 13,609.44 = 3,874.32 : x
  2. Step 2: Convert to fraction form
    9,069.84/13,609.44 = 3,874.32/x
  3. Step 3: Cross multiply
    9,069.84x = 13,609.44 × 3,874.32
  4. Step 4: Simplify right side
    9,069.84x = 52,727,325.58
  5. Step 5: Solve for x
    x = 52,727,325.58/9,069.84
  6. Step 6: Final answer
    x = 5,813.48

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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.