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Finding the Fourth Proportional to 9,118.75, 13,683.50 and 3,853.42

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Solution

The fourth proportional to 9,118.75, 13,683.50 and 3,853.42 is: 5,782.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,118.75 : 13,683.50 = 3,853.42 : x
  2. Step 2: Convert to fraction form
    9,118.75/13,683.50 = 3,853.42/x
  3. Step 3: Cross multiply
    9,118.75x = 13,683.50 × 3,853.42
  4. Step 4: Simplify right side
    9,118.75x = 52,728,282.20
  5. Step 5: Solve for x
    x = 52,728,282.20/9,118.75
  6. Step 6: Final answer
    x = 5,782.40

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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.