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Finding the Fourth Proportional to 9,512.70, 14,274.45 and 3,669.66

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Solution

The fourth proportional to 9,512.70, 14,274.45 and 3,669.66 is: 5,506.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,512.70 : 14,274.45 = 3,669.66 : x
  2. Step 2: Convert to fraction form
    9,512.70/14,274.45 = 3,669.66/x
  3. Step 3: Cross multiply
    9,512.70x = 14,274.45 × 3,669.66
  4. Step 4: Simplify right side
    9,512.70x = 52,382,378.19
  5. Step 5: Solve for x
    x = 52,382,378.19/9,512.70
  6. Step 6: Final answer
    x = 5,506.57

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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.