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Finding the Fourth Proportional to 9,489.69, 13,092.39 and 5,709.87

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Solution

The fourth proportional to 9,489.69, 13,092.39 and 5,709.87 is: 7,877.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.69 : 13,092.39 = 5,709.87 : x
  2. Step 2: Convert to fraction form
    9,489.69/13,092.39 = 5,709.87/x
  3. Step 3: Cross multiply
    9,489.69x = 13,092.39 × 5,709.87
  4. Step 4: Simplify right side
    9,489.69x = 74,755,844.89
  5. Step 5: Solve for x
    x = 74,755,844.89/9,489.69
  6. Step 6: Final answer
    x = 7,877.59

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1.5x scale

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.