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Finding the Fourth Proportional to 6,709.03, 9,260.26 and 4,189.59

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Solution

The fourth proportional to 6,709.03, 9,260.26 and 4,189.59 is: 5,782.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.03 : 9,260.26 = 4,189.59 : x
  2. Step 2: Convert to fraction form
    6,709.03/9,260.26 = 4,189.59/x
  3. Step 3: Cross multiply
    6,709.03x = 9,260.26 × 4,189.59
  4. Step 4: Simplify right side
    6,709.03x = 38,796,682.22
  5. Step 5: Solve for x
    x = 38,796,682.22/6,709.03
  6. Step 6: Final answer
    x = 5,782.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.