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Finding the Fourth Proportional to 9,143.82, 13,725.45 and 5,683.50

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Solution

The fourth proportional to 9,143.82, 13,725.45 and 5,683.50 is: 8,531.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,143.82 : 13,725.45 = 5,683.50 : x
  2. Step 2: Convert to fraction form
    9,143.82/13,725.45 = 5,683.50/x
  3. Step 3: Cross multiply
    9,143.82x = 13,725.45 × 5,683.50
  4. Step 4: Simplify right side
    9,143.82x = 78,008,595.08
  5. Step 5: Solve for x
    x = 78,008,595.08/9,143.82
  6. Step 6: Final answer
    x = 8,531.29

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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.