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Finding the Fourth Proportional to 9,683.17, 13,375.31 and 7,472.39

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Solution

The fourth proportional to 9,683.17, 13,375.31 and 7,472.39 is: 10,321.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.17 : 13,375.31 = 7,472.39 : x
  2. Step 2: Convert to fraction form
    9,683.17/13,375.31 = 7,472.39/x
  3. Step 3: Cross multiply
    9,683.17x = 13,375.31 × 7,472.39
  4. Step 4: Simplify right side
    9,683.17x = 99,945,428.45
  5. Step 5: Solve for x
    x = 99,945,428.45/9,683.17
  6. Step 6: Final answer
    x = 10,321.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.