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Finding the Fourth Proportional to 6,688.64, 9,229.53 and 3,856.94

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Solution

The fourth proportional to 6,688.64, 9,229.53 and 3,856.94 is: 5,322.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.64 : 9,229.53 = 3,856.94 : x
  2. Step 2: Convert to fraction form
    6,688.64/9,229.53 = 3,856.94/x
  3. Step 3: Cross multiply
    6,688.64x = 9,229.53 × 3,856.94
  4. Step 4: Simplify right side
    6,688.64x = 35,597,733.80
  5. Step 5: Solve for x
    x = 35,597,733.80/6,688.64
  6. Step 6: Final answer
    x = 5,322.12

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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.