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Finding the Fourth Proportional to 9,665.57, 14,564.20 and 7,949.03

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Solution

The fourth proportional to 9,665.57, 14,564.20 and 7,949.03 is: 11,977.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.57 : 14,564.20 = 7,949.03 : x
  2. Step 2: Convert to fraction form
    9,665.57/14,564.20 = 7,949.03/x
  3. Step 3: Cross multiply
    9,665.57x = 14,564.20 × 7,949.03
  4. Step 4: Simplify right side
    9,665.57x = 115,771,262.73
  5. Step 5: Solve for x
    x = 115,771,262.73/9,665.57
  6. Step 6: Final answer
    x = 11,977.70

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.