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Finding the Fourth Proportional to 6,031.36, 9,029.02 and 5,397.84

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Solution

The fourth proportional to 6,031.36, 9,029.02 and 5,397.84 is: 8,080.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,031.36 : 9,029.02 = 5,397.84 : x
  2. Step 2: Convert to fraction form
    6,031.36/9,029.02 = 5,397.84/x
  3. Step 3: Cross multiply
    6,031.36x = 9,029.02 × 5,397.84
  4. Step 4: Simplify right side
    6,031.36x = 48,737,201.94
  5. Step 5: Solve for x
    x = 48,737,201.94/6,031.36
  6. Step 6: Final answer
    x = 8,080.63

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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.