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Finding the Fourth Proportional to 6,884.28, 10,378.29 and 6,438.84

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Solution

The fourth proportional to 6,884.28, 10,378.29 and 6,438.84 is: 9,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.28 : 10,378.29 = 6,438.84 : x
  2. Step 2: Convert to fraction form
    6,884.28/10,378.29 = 6,438.84/x
  3. Step 3: Cross multiply
    6,884.28x = 10,378.29 × 6,438.84
  4. Step 4: Simplify right side
    6,884.28x = 66,824,148.78
  5. Step 5: Solve for x
    x = 66,824,148.78/6,884.28
  6. Step 6: Final answer
    x = 9,706.77

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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.