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Finding the Fourth Proportional to 9,152.67, 13,728.99 and 3,233.93

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Solution

The fourth proportional to 9,152.67, 13,728.99 and 3,233.93 is: 4,850.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,152.67 : 13,728.99 = 3,233.93 : x
  2. Step 2: Convert to fraction form
    9,152.67/13,728.99 = 3,233.93/x
  3. Step 3: Cross multiply
    9,152.67x = 13,728.99 × 3,233.93
  4. Step 4: Simplify right side
    9,152.67x = 44,398,592.63
  5. Step 5: Solve for x
    x = 44,398,592.63/9,152.67
  6. Step 6: Final answer
    x = 4,850.89

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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.