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Finding the Fourth Proportional to 9,640.05, 14,443.57 and 5,260.58

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Solution

The fourth proportional to 9,640.05, 14,443.57 and 5,260.58 is: 7,881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.05 : 14,443.57 = 5,260.58 : x
  2. Step 2: Convert to fraction form
    9,640.05/14,443.57 = 5,260.58/x
  3. Step 3: Cross multiply
    9,640.05x = 14,443.57 × 5,260.58
  4. Step 4: Simplify right side
    9,640.05x = 75,981,514.40
  5. Step 5: Solve for x
    x = 75,981,514.40/9,640.05
  6. Step 6: Final answer
    x = 7,881.86

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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.