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Finding the Fourth Proportional to 9,205.92, 13,719.60 and 8,910.72

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Solution

The fourth proportional to 9,205.92, 13,719.60 and 8,910.72 is: 13,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,205.92 : 13,719.60 = 8,910.72 : x
  2. Step 2: Convert to fraction form
    9,205.92/13,719.60 = 8,910.72/x
  3. Step 3: Cross multiply
    9,205.92x = 13,719.60 × 8,910.72
  4. Step 4: Simplify right side
    9,205.92x = 122,251,514.11
  5. Step 5: Solve for x
    x = 122,251,514.11/9,205.92
  6. Step 6: Final answer
    x = 13,279.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.