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Finding the Fourth Proportional to 6,441.31, 8,906.90 and 5,112.71

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Solution

The fourth proportional to 6,441.31, 8,906.90 and 5,112.71 is: 7,069.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.31 : 8,906.90 = 5,112.71 : x
  2. Step 2: Convert to fraction form
    6,441.31/8,906.90 = 5,112.71/x
  3. Step 3: Cross multiply
    6,441.31x = 8,906.90 × 5,112.71
  4. Step 4: Simplify right side
    6,441.31x = 45,538,364.95
  5. Step 5: Solve for x
    x = 45,538,364.95/6,441.31
  6. Step 6: Final answer
    x = 7,069.74

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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.