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Finding the Fourth Proportional to 6,713.64, 10,002.99 and 6,336.38

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Solution

The fourth proportional to 6,713.64, 10,002.99 and 6,336.38 is: 9,440.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,713.64 : 10,002.99 = 6,336.38 : x
  2. Step 2: Convert to fraction form
    6,713.64/10,002.99 = 6,336.38/x
  3. Step 3: Cross multiply
    6,713.64x = 10,002.99 × 6,336.38
  4. Step 4: Simplify right side
    6,713.64x = 63,382,695.76
  5. Step 5: Solve for x
    x = 63,382,695.76/6,713.64
  6. Step 6: Final answer
    x = 9,440.88

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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.