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Finding the Fourth Proportional to 9,740.99, 14,613.31 and 3,169.05

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Solution

The fourth proportional to 9,740.99, 14,613.31 and 3,169.05 is: 4,754.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.99 : 14,613.31 = 3,169.05 : x
  2. Step 2: Convert to fraction form
    9,740.99/14,613.31 = 3,169.05/x
  3. Step 3: Cross multiply
    9,740.99x = 14,613.31 × 3,169.05
  4. Step 4: Simplify right side
    9,740.99x = 46,310,310.06
  5. Step 5: Solve for x
    x = 46,310,310.06/9,740.99
  6. Step 6: Final answer
    x = 4,754.17

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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.