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Finding the Fourth Proportional to 9,665.97, 14,499.08 and 2,740.47

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Solution

The fourth proportional to 9,665.97, 14,499.08 and 2,740.47 is: 4,110.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.97 : 14,499.08 = 2,740.47 : x
  2. Step 2: Convert to fraction form
    9,665.97/14,499.08 = 2,740.47/x
  3. Step 3: Cross multiply
    9,665.97x = 14,499.08 × 2,740.47
  4. Step 4: Simplify right side
    9,665.97x = 39,734,251.39
  5. Step 5: Solve for x
    x = 39,734,251.39/9,665.97
  6. Step 6: Final answer
    x = 4,110.74

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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.