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Finding the Fourth Proportional to 9,371.96, 12,932.94 and 5,180.12

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Solution

The fourth proportional to 9,371.96, 12,932.94 and 5,180.12 is: 7,148.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,371.96 : 12,932.94 = 5,180.12 : x
  2. Step 2: Convert to fraction form
    9,371.96/12,932.94 = 5,180.12/x
  3. Step 3: Cross multiply
    9,371.96x = 12,932.94 × 5,180.12
  4. Step 4: Simplify right side
    9,371.96x = 66,994,181.15
  5. Step 5: Solve for x
    x = 66,994,181.15/9,371.96
  6. Step 6: Final answer
    x = 7,148.36

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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.