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Finding the Fourth Proportional to 9,665.43, 14,500.44 and 3,425.98

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Solution

The fourth proportional to 9,665.43, 14,500.44 and 3,425.98 is: 5,139.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.43 : 14,500.44 = 3,425.98 : x
  2. Step 2: Convert to fraction form
    9,665.43/14,500.44 = 3,425.98/x
  3. Step 3: Cross multiply
    9,665.43x = 14,500.44 × 3,425.98
  4. Step 4: Simplify right side
    9,665.43x = 49,678,279.18
  5. Step 5: Solve for x
    x = 49,678,279.18/9,665.43
  6. Step 6: Final answer
    x = 5,139.79

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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.