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Finding the Fourth Proportional to 7,297.92, 10,946.88 and 5,846.22

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Solution

The fourth proportional to 7,297.92, 10,946.88 and 5,846.22 is: 8,769.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,297.92 : 10,946.88 = 5,846.22 : x
  2. Step 2: Convert to fraction form
    7,297.92/10,946.88 = 5,846.22/x
  3. Step 3: Cross multiply
    7,297.92x = 10,946.88 × 5,846.22
  4. Step 4: Simplify right side
    7,297.92x = 63,997,868.79
  5. Step 5: Solve for x
    x = 63,997,868.79/7,297.92
  6. Step 6: Final answer
    x = 8,769.33

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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.