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Finding the Fourth Proportional to 6,131.40, 9,195.14 and 1,970.41

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Solution

The fourth proportional to 6,131.40, 9,195.14 and 1,970.41 is: 2,954.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,131.40 : 9,195.14 = 1,970.41 : x
  2. Step 2: Convert to fraction form
    6,131.40/9,195.14 = 1,970.41/x
  3. Step 3: Cross multiply
    6,131.40x = 9,195.14 × 1,970.41
  4. Step 4: Simplify right side
    6,131.40x = 18,118,168.66
  5. Step 5: Solve for x
    x = 18,118,168.66/6,131.40
  6. Step 6: Final answer
    x = 2,954.98

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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.