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Finding the Fourth Proportional to 9,269.90, 13,904.85 and 8,233.10

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Solution

The fourth proportional to 9,269.90, 13,904.85 and 8,233.10 is: 12,349.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.90 : 13,904.85 = 8,233.10 : x
  2. Step 2: Convert to fraction form
    9,269.90/13,904.85 = 8,233.10/x
  3. Step 3: Cross multiply
    9,269.90x = 13,904.85 × 8,233.10
  4. Step 4: Simplify right side
    9,269.90x = 114,480,020.54
  5. Step 5: Solve for x
    x = 114,480,020.54/9,269.90
  6. Step 6: Final answer
    x = 12,349.65

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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.