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Finding the Fourth Proportional to 9,683.77, 14,524.27 and 3,109.11

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Solution

The fourth proportional to 9,683.77, 14,524.27 and 3,109.11 is: 4,663.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.77 : 14,524.27 = 3,109.11 : x
  2. Step 2: Convert to fraction form
    9,683.77/14,524.27 = 3,109.11/x
  3. Step 3: Cross multiply
    9,683.77x = 14,524.27 × 3,109.11
  4. Step 4: Simplify right side
    9,683.77x = 45,157,553.10
  5. Step 5: Solve for x
    x = 45,157,553.10/9,683.77
  6. Step 6: Final answer
    x = 4,663.22

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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.