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Finding the Fourth Proportional to 9,794.14, 14,689.80 and 3,131.39

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Solution

The fourth proportional to 9,794.14, 14,689.80 and 3,131.39 is: 4,696.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.14 : 14,689.80 = 3,131.39 : x
  2. Step 2: Convert to fraction form
    9,794.14/14,689.80 = 3,131.39/x
  3. Step 3: Cross multiply
    9,794.14x = 14,689.80 × 3,131.39
  4. Step 4: Simplify right side
    9,794.14x = 45,999,529.55
  5. Step 5: Solve for x
    x = 45,999,529.55/9,794.14
  6. Step 6: Final answer
    x = 4,696.64

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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.