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Finding the Fourth Proportional to 9,792.72, 13,505.61 and 6,815.67

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Solution

The fourth proportional to 9,792.72, 13,505.61 and 6,815.67 is: 9,399.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.72 : 13,505.61 = 6,815.67 : x
  2. Step 2: Convert to fraction form
    9,792.72/13,505.61 = 6,815.67/x
  3. Step 3: Cross multiply
    9,792.72x = 13,505.61 × 6,815.67
  4. Step 4: Simplify right side
    9,792.72x = 92,049,780.91
  5. Step 5: Solve for x
    x = 92,049,780.91/9,792.72
  6. Step 6: Final answer
    x = 9,399.82

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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.