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Finding the Fourth Proportional to 6,343.92, 8,756.25 and 4,223.01

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Solution

The fourth proportional to 6,343.92, 8,756.25 and 4,223.01 is: 5,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.92 : 8,756.25 = 4,223.01 : x
  2. Step 2: Convert to fraction form
    6,343.92/8,756.25 = 4,223.01/x
  3. Step 3: Cross multiply
    6,343.92x = 8,756.25 × 4,223.01
  4. Step 4: Simplify right side
    6,343.92x = 36,977,731.31
  5. Step 5: Solve for x
    x = 36,977,731.31/6,343.92
  6. Step 6: Final answer
    x = 5,828.85

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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.