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Finding the Fourth Proportional to 6,716.71, 9,276.83 and 5,045.41

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Solution

The fourth proportional to 6,716.71, 9,276.83 and 5,045.41 is: 6,968.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.71 : 9,276.83 = 5,045.41 : x
  2. Step 2: Convert to fraction form
    6,716.71/9,276.83 = 5,045.41/x
  3. Step 3: Cross multiply
    6,716.71x = 9,276.83 × 5,045.41
  4. Step 4: Simplify right side
    6,716.71x = 46,805,410.85
  5. Step 5: Solve for x
    x = 46,805,410.85/6,716.71
  6. Step 6: Final answer
    x = 6,968.50

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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.