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Finding the Fourth Proportional to 9,674.44, 14,513.78 and 3,434.81

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Solution

The fourth proportional to 9,674.44, 14,513.78 and 3,434.81 is: 5,152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.44 : 14,513.78 = 3,434.81 : x
  2. Step 2: Convert to fraction form
    9,674.44/14,513.78 = 3,434.81/x
  3. Step 3: Cross multiply
    9,674.44x = 14,513.78 × 3,434.81
  4. Step 4: Simplify right side
    9,674.44x = 49,852,012.70
  5. Step 5: Solve for x
    x = 49,852,012.70/9,674.44
  6. Step 6: Final answer
    x = 5,152.96

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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.