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Finding the Fourth Proportional to 6,840.73, 9,378.65 and 6,716.17

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Solution

The fourth proportional to 6,840.73, 9,378.65 and 6,716.17 is: 9,207.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,840.73 : 9,378.65 = 6,716.17 : x
  2. Step 2: Convert to fraction form
    6,840.73/9,378.65 = 6,716.17/x
  3. Step 3: Cross multiply
    6,840.73x = 9,378.65 × 6,716.17
  4. Step 4: Simplify right side
    6,840.73x = 62,988,607.77
  5. Step 5: Solve for x
    x = 62,988,607.77/6,840.73
  6. Step 6: Final answer
    x = 9,207.88

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.