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Finding the Fourth Proportional to 6,420.67, 9,631.91 and 2,910.65

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Solution

The fourth proportional to 6,420.67, 9,631.91 and 2,910.65 is: 4,366.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.67 : 9,631.91 = 2,910.65 : x
  2. Step 2: Convert to fraction form
    6,420.67/9,631.91 = 2,910.65/x
  3. Step 3: Cross multiply
    6,420.67x = 9,631.91 × 2,910.65
  4. Step 4: Simplify right side
    6,420.67x = 28,035,091.50
  5. Step 5: Solve for x
    x = 28,035,091.50/6,420.67
  6. Step 6: Final answer
    x = 4,366.38

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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.