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Finding the Fourth Proportional to 6,709.95, 9,259.83 and 3,725.91

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Solution

The fourth proportional to 6,709.95, 9,259.83 and 3,725.91 is: 5,141.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.95 : 9,259.83 = 3,725.91 : x
  2. Step 2: Convert to fraction form
    6,709.95/9,259.83 = 3,725.91/x
  3. Step 3: Cross multiply
    6,709.95x = 9,259.83 × 3,725.91
  4. Step 4: Simplify right side
    6,709.95x = 34,501,293.20
  5. Step 5: Solve for x
    x = 34,501,293.20/6,709.95
  6. Step 6: Final answer
    x = 5,141.81

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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.