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Finding the Fourth Proportional to 9,683.16, 14,523.36 and 3,109.92

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Solution

The fourth proportional to 9,683.16, 14,523.36 and 3,109.92 is: 4,664.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.16 : 14,523.36 = 3,109.92 : x
  2. Step 2: Convert to fraction form
    9,683.16/14,523.36 = 3,109.92/x
  3. Step 3: Cross multiply
    9,683.16x = 14,523.36 × 3,109.92
  4. Step 4: Simplify right side
    9,683.16x = 45,166,487.73
  5. Step 5: Solve for x
    x = 45,166,487.73/9,683.16
  6. Step 6: Final answer
    x = 4,664.44

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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.