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Finding the Fourth Proportional to 9,665.49, 14,499.50 and 2,740.17

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Solution

The fourth proportional to 9,665.49, 14,499.50 and 2,740.17 is: 4,110.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.49 : 14,499.50 = 2,740.17 : x
  2. Step 2: Convert to fraction form
    9,665.49/14,499.50 = 2,740.17/x
  3. Step 3: Cross multiply
    9,665.49x = 14,499.50 × 2,740.17
  4. Step 4: Simplify right side
    9,665.49x = 39,731,081.21
  5. Step 5: Solve for x
    x = 39,731,081.21/9,665.49
  6. Step 6: Final answer
    x = 4,110.61

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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.