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Finding the Fourth Proportional to 6,709.65, 9,259.37 and 4,193.24

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Solution

The fourth proportional to 6,709.65, 9,259.37 and 4,193.24 is: 5,786.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,709.65 : 9,259.37 = 4,193.24 : x
  2. Step 2: Convert to fraction form
    6,709.65/9,259.37 = 4,193.24/x
  3. Step 3: Cross multiply
    6,709.65x = 9,259.37 × 4,193.24
  4. Step 4: Simplify right side
    6,709.65x = 38,826,693.40
  5. Step 5: Solve for x
    x = 38,826,693.40/6,709.65
  6. Step 6: Final answer
    x = 5,786.69

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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.