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Finding the Fourth Proportional to 6,173.14, 9,259.70 and 2,069.14

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Solution

The fourth proportional to 6,173.14, 9,259.70 and 2,069.14 is: 3,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,173.14 : 9,259.70 = 2,069.14 : x
  2. Step 2: Convert to fraction form
    6,173.14/9,259.70 = 2,069.14/x
  3. Step 3: Cross multiply
    6,173.14x = 9,259.70 × 2,069.14
  4. Step 4: Simplify right side
    6,173.14x = 19,159,615.66
  5. Step 5: Solve for x
    x = 19,159,615.66/6,173.14
  6. Step 6: Final answer
    x = 3,103.71

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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.