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Finding the Fourth Proportional to 9,666.97, 14,497.66 and 2,647.21

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Solution

The fourth proportional to 9,666.97, 14,497.66 and 2,647.21 is: 3,970.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.97 : 14,497.66 = 2,647.21 : x
  2. Step 2: Convert to fraction form
    9,666.97/14,497.66 = 2,647.21/x
  3. Step 3: Cross multiply
    9,666.97x = 14,497.66 × 2,647.21
  4. Step 4: Simplify right side
    9,666.97x = 38,378,356.04
  5. Step 5: Solve for x
    x = 38,378,356.04/9,666.97
  6. Step 6: Final answer
    x = 3,970.05

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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.