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Finding the Fourth Proportional to 9,269.84, 12,789.12 and 5,288.08

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Solution

The fourth proportional to 9,269.84, 12,789.12 and 5,288.08 is: 7,295.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,269.84 : 12,789.12 = 5,288.08 : x
  2. Step 2: Convert to fraction form
    9,269.84/12,789.12 = 5,288.08/x
  3. Step 3: Cross multiply
    9,269.84x = 12,789.12 × 5,288.08
  4. Step 4: Simplify right side
    9,269.84x = 67,629,889.69
  5. Step 5: Solve for x
    x = 67,629,889.69/9,269.84
  6. Step 6: Final answer
    x = 7,295.69

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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.