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Finding the Fourth Proportional to 6,269.70, 9,405.02 and 2,109.72

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Solution

The fourth proportional to 6,269.70, 9,405.02 and 2,109.72 is: 3,164.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,269.70 : 9,405.02 = 2,109.72 : x
  2. Step 2: Convert to fraction form
    6,269.70/9,405.02 = 2,109.72/x
  3. Step 3: Cross multiply
    6,269.70x = 9,405.02 × 2,109.72
  4. Step 4: Simplify right side
    6,269.70x = 19,841,958.79
  5. Step 5: Solve for x
    x = 19,841,958.79/6,269.70
  6. Step 6: Final answer
    x = 3,164.74

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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.