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Finding the Fourth Proportional to 6,914.67, 9,551.43 and 6,028.94

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Solution

The fourth proportional to 6,914.67, 9,551.43 and 6,028.94 is: 8,327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.67 : 9,551.43 = 6,028.94 : x
  2. Step 2: Convert to fraction form
    6,914.67/9,551.43 = 6,028.94/x
  3. Step 3: Cross multiply
    6,914.67x = 9,551.43 × 6,028.94
  4. Step 4: Simplify right side
    6,914.67x = 57,584,950.63
  5. Step 5: Solve for x
    x = 57,584,950.63/6,914.67
  6. Step 6: Final answer
    x = 8,327.94

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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.