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Finding the Fourth Proportional to 6,212.85, 9,316.05 and 1,829.73

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Solution

The fourth proportional to 6,212.85, 9,316.05 and 1,829.73 is: 2,743.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,212.85 : 9,316.05 = 1,829.73 : x
  2. Step 2: Convert to fraction form
    6,212.85/9,316.05 = 1,829.73/x
  3. Step 3: Cross multiply
    6,212.85x = 9,316.05 × 1,829.73
  4. Step 4: Simplify right side
    6,212.85x = 17,045,856.17
  5. Step 5: Solve for x
    x = 17,045,856.17/6,212.85
  6. Step 6: Final answer
    x = 2,743.65

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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.