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Finding the Fourth Proportional to 9,520.92, 13,122.36 and 7,158.96

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Solution

The fourth proportional to 9,520.92, 13,122.36 and 7,158.96 is: 9,866.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.92 : 13,122.36 = 7,158.96 : x
  2. Step 2: Convert to fraction form
    9,520.92/13,122.36 = 7,158.96/x
  3. Step 3: Cross multiply
    9,520.92x = 13,122.36 × 7,158.96
  4. Step 4: Simplify right side
    9,520.92x = 93,942,450.35
  5. Step 5: Solve for x
    x = 93,942,450.35/9,520.92
  6. Step 6: Final answer
    x = 9,866.95

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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.