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Finding the Fourth Proportional to 9,083.58, 13,608.09 and 5,176.14

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Solution

The fourth proportional to 9,083.58, 13,608.09 and 5,176.14 is: 7,754.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,083.58 : 13,608.09 = 5,176.14 : x
  2. Step 2: Convert to fraction form
    9,083.58/13,608.09 = 5,176.14/x
  3. Step 3: Cross multiply
    9,083.58x = 13,608.09 × 5,176.14
  4. Step 4: Simplify right side
    9,083.58x = 70,437,378.97
  5. Step 5: Solve for x
    x = 70,437,378.97/9,083.58
  6. Step 6: Final answer
    x = 7,754.36

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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.