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Finding the Fourth Proportional to 6,029.88, 9,038.62 and 3,427.32

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Solution

The fourth proportional to 6,029.88, 9,038.62 and 3,427.32 is: 5,137.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,029.88 : 9,038.62 = 3,427.32 : x
  2. Step 2: Convert to fraction form
    6,029.88/9,038.62 = 3,427.32/x
  3. Step 3: Cross multiply
    6,029.88x = 9,038.62 × 3,427.32
  4. Step 4: Simplify right side
    6,029.88x = 30,978,243.10
  5. Step 5: Solve for x
    x = 30,978,243.10/6,029.88
  6. Step 6: Final answer
    x = 5,137.46

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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.