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Finding the Fourth Proportional to 9,975.47, 13,753.37 and 8,176.33

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Solution

The fourth proportional to 9,975.47, 13,753.37 and 8,176.33 is: 11,272.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,975.47 : 13,753.37 = 8,176.33 : x
  2. Step 2: Convert to fraction form
    9,975.47/13,753.37 = 8,176.33/x
  3. Step 3: Cross multiply
    9,975.47x = 13,753.37 × 8,176.33
  4. Step 4: Simplify right side
    9,975.47x = 112,452,091.73
  5. Step 5: Solve for x
    x = 112,452,091.73/9,975.47
  6. Step 6: Final answer
    x = 11,272.86

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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.