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Finding the Fourth Proportional to 6,134.93, 9,204.36 and 3,014.30

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Solution

The fourth proportional to 6,134.93, 9,204.36 and 3,014.30 is: 4,522.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.93 : 9,204.36 = 3,014.30 : x
  2. Step 2: Convert to fraction form
    6,134.93/9,204.36 = 3,014.30/x
  3. Step 3: Cross multiply
    6,134.93x = 9,204.36 × 3,014.30
  4. Step 4: Simplify right side
    6,134.93x = 27,744,656.33
  5. Step 5: Solve for x
    x = 27,744,656.33/6,134.93
  6. Step 6: Final answer
    x = 4,522.41

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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.