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Finding the Fourth Proportional to 10,131.71, 13,988.18 and 6,950.34

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Solution

The fourth proportional to 10,131.71, 13,988.18 and 6,950.34 is: 9,595.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,131.71 : 13,988.18 = 6,950.34 : x
  2. Step 2: Convert to fraction form
    10,131.71/13,988.18 = 6,950.34/x
  3. Step 3: Cross multiply
    10,131.71x = 13,988.18 × 6,950.34
  4. Step 4: Simplify right side
    10,131.71x = 97,222,606.98
  5. Step 5: Solve for x
    x = 97,222,606.98/10,131.71
  6. Step 6: Final answer
    x = 9,595.87

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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.