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Finding the Fourth Proportional to 9,264.78, 12,778.83 and 5,729.67

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Solution

The fourth proportional to 9,264.78, 12,778.83 and 5,729.67 is: 7,902.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,264.78 : 12,778.83 = 5,729.67 : x
  2. Step 2: Convert to fraction form
    9,264.78/12,778.83 = 5,729.67/x
  3. Step 3: Cross multiply
    9,264.78x = 12,778.83 × 5,729.67
  4. Step 4: Simplify right side
    9,264.78x = 73,218,478.89
  5. Step 5: Solve for x
    x = 73,218,478.89/9,264.78
  6. Step 6: Final answer
    x = 7,902.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.