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Finding the Fourth Proportional to 6,134.86, 9,204.52 and 3,014.54

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Solution

The fourth proportional to 6,134.86, 9,204.52 and 3,014.54 is: 4,522.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,134.86 : 9,204.52 = 3,014.54 : x
  2. Step 2: Convert to fraction form
    6,134.86/9,204.52 = 3,014.54/x
  3. Step 3: Cross multiply
    6,134.86x = 9,204.52 × 3,014.54
  4. Step 4: Simplify right side
    6,134.86x = 27,747,393.72
  5. Step 5: Solve for x
    x = 27,747,393.72/6,134.86
  6. Step 6: Final answer
    x = 4,522.91

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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.