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Finding the Fourth Proportional to 9,785.08, 13,500.96 and 5,806

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Solution

The fourth proportional to 9,785.08, 13,500.96 and 5,806 is: 8,010.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,785.08 : 13,500.96 = 5,806 : x
  2. Step 2: Convert to fraction form
    9,785.08/13,500.96 = 5,806/x
  3. Step 3: Cross multiply
    9,785.08x = 13,500.96 × 5,806
  4. Step 4: Simplify right side
    9,785.08x = 78,386,573.76
  5. Step 5: Solve for x
    x = 78,386,573.76/9,785.08
  6. Step 6: Final answer
    x = 8,010.83

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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.