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Finding the Fourth Proportional to 9,683.70, 14,523 and 2,662.05

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Solution

The fourth proportional to 9,683.70, 14,523 and 2,662.05 is: 3,992.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.70 : 14,523 = 2,662.05 : x
  2. Step 2: Convert to fraction form
    9,683.70/14,523 = 2,662.05/x
  3. Step 3: Cross multiply
    9,683.70x = 14,523 × 2,662.05
  4. Step 4: Simplify right side
    9,683.70x = 38,660,952.15
  5. Step 5: Solve for x
    x = 38,660,952.15/9,683.70
  6. Step 6: Final answer
    x = 3,992.37

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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.