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Finding the Fourth Proportional to 12,631.41, 17,431.03 and 6,965.98

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Solution

The fourth proportional to 12,631.41, 17,431.03 and 6,965.98 is: 9,612.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,631.41 : 17,431.03 = 6,965.98 : x
  2. Step 2: Convert to fraction form
    12,631.41/17,431.03 = 6,965.98/x
  3. Step 3: Cross multiply
    12,631.41x = 17,431.03 × 6,965.98
  4. Step 4: Simplify right side
    12,631.41x = 121,424,084.37
  5. Step 5: Solve for x
    x = 121,424,084.37/12,631.41
  6. Step 6: Final answer
    x = 9,612.87

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.