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Finding the Fourth Proportional to 9,009.69, 13,500.43 and 6,785.96

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Solution

The fourth proportional to 9,009.69, 13,500.43 and 6,785.96 is: 10,168.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,009.69 : 13,500.43 = 6,785.96 : x
  2. Step 2: Convert to fraction form
    9,009.69/13,500.43 = 6,785.96/x
  3. Step 3: Cross multiply
    9,009.69x = 13,500.43 × 6,785.96
  4. Step 4: Simplify right side
    9,009.69x = 91,613,293.50
  5. Step 5: Solve for x
    x = 91,613,293.50/9,009.69
  6. Step 6: Final answer
    x = 10,168.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.