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Finding the Fourth Proportional to 6,269.32, 9,404.45 and 2,109.34

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Solution

The fourth proportional to 6,269.32, 9,404.45 and 2,109.34 is: 3,164.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.32 : 9,404.45 = 2,109.34 : x
  2. Step 2: Convert to fraction form
    6,269.32/9,404.45 = 2,109.34/x
  3. Step 3: Cross multiply
    6,269.32x = 9,404.45 × 2,109.34
  4. Step 4: Simplify right side
    6,269.32x = 19,837,182.56
  5. Step 5: Solve for x
    x = 19,837,182.56/6,269.32
  6. Step 6: Final answer
    x = 3,164.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.