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Finding the Fourth Proportional to 9,158.35, 13,738.62 and 3,234.01

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Solution

The fourth proportional to 9,158.35, 13,738.62 and 3,234.01 is: 4,851.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.35 : 13,738.62 = 3,234.01 : x
  2. Step 2: Convert to fraction form
    9,158.35/13,738.62 = 3,234.01/x
  3. Step 3: Cross multiply
    9,158.35x = 13,738.62 × 3,234.01
  4. Step 4: Simplify right side
    9,158.35x = 44,430,860.73
  5. Step 5: Solve for x
    x = 44,430,860.73/9,158.35
  6. Step 6: Final answer
    x = 4,851.41

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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.