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Finding the Fourth Proportional to 9,423.50, 13,007.92 and 8,091.86

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Solution

The fourth proportional to 9,423.50, 13,007.92 and 8,091.86 is: 11,169.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,423.50 : 13,007.92 = 8,091.86 : x
  2. Step 2: Convert to fraction form
    9,423.50/13,007.92 = 8,091.86/x
  3. Step 3: Cross multiply
    9,423.50x = 13,007.92 × 8,091.86
  4. Step 4: Simplify right side
    9,423.50x = 105,258,267.53
  5. Step 5: Solve for x
    x = 105,258,267.53/9,423.50
  6. Step 6: Final answer
    x = 11,169.76

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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.