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Finding the Fourth Proportional to 6,614.24, 9,077.80 and 6,051.10

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Solution

The fourth proportional to 6,614.24, 9,077.80 and 6,051.10 is: 8,304.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,614.24 : 9,077.80 = 6,051.10 : x
  2. Step 2: Convert to fraction form
    6,614.24/9,077.80 = 6,051.10/x
  3. Step 3: Cross multiply
    6,614.24x = 9,077.80 × 6,051.10
  4. Step 4: Simplify right side
    6,614.24x = 54,930,675.58
  5. Step 5: Solve for x
    x = 54,930,675.58/6,614.24
  6. Step 6: Final answer
    x = 8,304.91

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.