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Finding the Fourth Proportional to 9,257.54, 13,883.70 and 3,333.56

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Solution

The fourth proportional to 9,257.54, 13,883.70 and 3,333.56 is: 4,999.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257.54 : 13,883.70 = 3,333.56 : x
  2. Step 2: Convert to fraction form
    9,257.54/13,883.70 = 3,333.56/x
  3. Step 3: Cross multiply
    9,257.54x = 13,883.70 × 3,333.56
  4. Step 4: Simplify right side
    9,257.54x = 46,282,146.97
  5. Step 5: Solve for x
    x = 46,282,146.97/9,257.54
  6. Step 6: Final answer
    x = 4,999.40

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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.