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Finding the Fourth Proportional to 6,502.86, 9,773.73 and 5,725.26

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Solution

The fourth proportional to 6,502.86, 9,773.73 and 5,725.26 is: 8,605.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,502.86 : 9,773.73 = 5,725.26 : x
  2. Step 2: Convert to fraction form
    6,502.86/9,773.73 = 5,725.26/x
  3. Step 3: Cross multiply
    6,502.86x = 9,773.73 × 5,725.26
  4. Step 4: Simplify right side
    6,502.86x = 55,957,145.42
  5. Step 5: Solve for x
    x = 55,957,145.42/6,502.86
  6. Step 6: Final answer
    x = 8,605.01

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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.