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Finding the Fourth Proportional to 6,709.08, 9,261.01 and 5,761.06

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Solution

The fourth proportional to 6,709.08, 9,261.01 and 5,761.06 is: 7,952.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.08 : 9,261.01 = 5,761.06 : x
  2. Step 2: Convert to fraction form
    6,709.08/9,261.01 = 5,761.06/x
  3. Step 3: Cross multiply
    6,709.08x = 9,261.01 × 5,761.06
  4. Step 4: Simplify right side
    6,709.08x = 53,353,234.27
  5. Step 5: Solve for x
    x = 53,353,234.27/6,709.08
  6. Step 6: Final answer
    x = 7,952.39

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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.