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Finding the Fourth Proportional to 6,828.71, 9,426.52 and 4,591.88

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Solution

The fourth proportional to 6,828.71, 9,426.52 and 4,591.88 is: 6,338.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,828.71 : 9,426.52 = 4,591.88 : x
  2. Step 2: Convert to fraction form
    6,828.71/9,426.52 = 4,591.88/x
  3. Step 3: Cross multiply
    6,828.71x = 9,426.52 × 4,591.88
  4. Step 4: Simplify right side
    6,828.71x = 43,285,401.53
  5. Step 5: Solve for x
    x = 43,285,401.53/6,828.71
  6. Step 6: Final answer
    x = 6,338.74

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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.