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Finding the Fourth Proportional to 6,393.28, 9,532.80 and 6,384.64

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Solution

The fourth proportional to 6,393.28, 9,532.80 and 6,384.64 is: 9,519.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,393.28 : 9,532.80 = 6,384.64 : x
  2. Step 2: Convert to fraction form
    6,393.28/9,532.80 = 6,384.64/x
  3. Step 3: Cross multiply
    6,393.28x = 9,532.80 × 6,384.64
  4. Step 4: Simplify right side
    6,393.28x = 60,863,496.19
  5. Step 5: Solve for x
    x = 60,863,496.19/6,393.28
  6. Step 6: Final answer
    x = 9,519.92

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.