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Finding the Fourth Proportional to 9,694.68, 14,542.02 and 3,121.32

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Solution

The fourth proportional to 9,694.68, 14,542.02 and 3,121.32 is: 4,681.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,694.68 : 14,542.02 = 3,121.32 : x
  2. Step 2: Convert to fraction form
    9,694.68/14,542.02 = 3,121.32/x
  3. Step 3: Cross multiply
    9,694.68x = 14,542.02 × 3,121.32
  4. Step 4: Simplify right side
    9,694.68x = 45,390,297.87
  5. Step 5: Solve for x
    x = 45,390,297.87/9,694.68
  6. Step 6: Final answer
    x = 4,681.98

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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.