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Finding the Fourth Proportional to 6,176.32, 9,297.84 and 5,640.64

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Solution

The fourth proportional to 6,176.32, 9,297.84 and 5,640.64 is: 8,491.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,176.32 : 9,297.84 = 5,640.64 : x
  2. Step 2: Convert to fraction form
    6,176.32/9,297.84 = 5,640.64/x
  3. Step 3: Cross multiply
    6,176.32x = 9,297.84 × 5,640.64
  4. Step 4: Simplify right side
    6,176.32x = 52,445,768.22
  5. Step 5: Solve for x
    x = 52,445,768.22/6,176.32
  6. Step 6: Final answer
    x = 8,491.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.