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Finding the Fourth Proportional to 7,000.39, 9,660.09 and 3,856.57

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Solution

The fourth proportional to 7,000.39, 9,660.09 and 3,856.57 is: 5,321.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.39 : 9,660.09 = 3,856.57 : x
  2. Step 2: Convert to fraction form
    7,000.39/9,660.09 = 3,856.57/x
  3. Step 3: Cross multiply
    7,000.39x = 9,660.09 × 3,856.57
  4. Step 4: Simplify right side
    7,000.39x = 37,254,813.29
  5. Step 5: Solve for x
    x = 37,254,813.29/7,000.39
  6. Step 6: Final answer
    x = 5,321.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.