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Finding the Fourth Proportional to 9,826.91, 14,740.38 and 8,091.89

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Solution

The fourth proportional to 9,826.91, 14,740.38 and 8,091.89 is: 12,137.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,826.91 : 14,740.38 = 8,091.89 : x
  2. Step 2: Convert to fraction form
    9,826.91/14,740.38 = 8,091.89/x
  3. Step 3: Cross multiply
    9,826.91x = 14,740.38 × 8,091.89
  4. Step 4: Simplify right side
    9,826.91x = 119,277,459.82
  5. Step 5: Solve for x
    x = 119,277,459.82/9,826.91
  6. Step 6: Final answer
    x = 12,137.85

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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.