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Finding the Fourth Proportional to 6,439.50, 9,666.14 and 2,743.47

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Solution

The fourth proportional to 6,439.50, 9,666.14 and 2,743.47 is: 4,118.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.50 : 9,666.14 = 2,743.47 : x
  2. Step 2: Convert to fraction form
    6,439.50/9,666.14 = 2,743.47/x
  3. Step 3: Cross multiply
    6,439.50x = 9,666.14 × 2,743.47
  4. Step 4: Simplify right side
    6,439.50x = 26,518,751.39
  5. Step 5: Solve for x
    x = 26,518,751.39/6,439.50
  6. Step 6: Final answer
    x = 4,118.14

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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.