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Finding the Fourth Proportional to 9,836.67, 13,498.24 and 8,945.67

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Solution

The fourth proportional to 9,836.67, 13,498.24 and 8,945.67 is: 12,275.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.67 : 13,498.24 = 8,945.67 : x
  2. Step 2: Convert to fraction form
    9,836.67/13,498.24 = 8,945.67/x
  3. Step 3: Cross multiply
    9,836.67x = 13,498.24 × 8,945.67
  4. Step 4: Simplify right side
    9,836.67x = 120,750,778.26
  5. Step 5: Solve for x
    x = 120,750,778.26/9,836.67
  6. Step 6: Final answer
    x = 12,275.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.