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Finding the Fourth Proportional to 9,696.67, 14,544.19 and 3,851.71

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Solution

The fourth proportional to 9,696.67, 14,544.19 and 3,851.71 is: 5,777.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,696.67 : 14,544.19 = 3,851.71 : x
  2. Step 2: Convert to fraction form
    9,696.67/14,544.19 = 3,851.71/x
  3. Step 3: Cross multiply
    9,696.67x = 14,544.19 × 3,851.71
  4. Step 4: Simplify right side
    9,696.67x = 56,019,956.08
  5. Step 5: Solve for x
    x = 56,019,956.08/9,696.67
  6. Step 6: Final answer
    x = 5,777.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.