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Finding the Fourth Proportional to 6,368, 8,794.32 and 6,324.80

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Solution

The fourth proportional to 6,368, 8,794.32 and 6,324.80 is: 8,734.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,368 : 8,794.32 = 6,324.80 : x
  2. Step 2: Convert to fraction form
    6,368/8,794.32 = 6,324.80/x
  3. Step 3: Cross multiply
    6,368x = 8,794.32 × 6,324.80
  4. Step 4: Simplify right side
    6,368x = 55,622,315.14
  5. Step 5: Solve for x
    x = 55,622,315.14/6,368
  6. Step 6: Final answer
    x = 8,734.66

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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.