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Finding the Fourth Proportional to 6,444.69, 9,666.96 and 2,549.07

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Solution

The fourth proportional to 6,444.69, 9,666.96 and 2,549.07 is: 3,823.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.69 : 9,666.96 = 2,549.07 : x
  2. Step 2: Convert to fraction form
    6,444.69/9,666.96 = 2,549.07/x
  3. Step 3: Cross multiply
    6,444.69x = 9,666.96 × 2,549.07
  4. Step 4: Simplify right side
    6,444.69x = 24,641,757.73
  5. Step 5: Solve for x
    x = 24,641,757.73/6,444.69
  6. Step 6: Final answer
    x = 3,823.58

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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.