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Finding the Fourth Proportional to 6,012.19, 9,019.67 and 2,116.63

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Solution

The fourth proportional to 6,012.19, 9,019.67 and 2,116.63 is: 3,175.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,012.19 : 9,019.67 = 2,116.63 : x
  2. Step 2: Convert to fraction form
    6,012.19/9,019.67 = 2,116.63/x
  3. Step 3: Cross multiply
    6,012.19x = 9,019.67 × 2,116.63
  4. Step 4: Simplify right side
    6,012.19x = 19,091,304.11
  5. Step 5: Solve for x
    x = 19,091,304.11/6,012.19
  6. Step 6: Final answer
    x = 3,175.43

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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.