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Finding the Fourth Proportional to 6,876.63, 9,491.31 and 4,362.21

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Solution

The fourth proportional to 6,876.63, 9,491.31 and 4,362.21 is: 6,020.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.63 : 9,491.31 = 4,362.21 : x
  2. Step 2: Convert to fraction form
    6,876.63/9,491.31 = 4,362.21/x
  3. Step 3: Cross multiply
    6,876.63x = 9,491.31 × 4,362.21
  4. Step 4: Simplify right side
    6,876.63x = 41,403,087.40
  5. Step 5: Solve for x
    x = 41,403,087.40/6,876.63
  6. Step 6: Final answer
    x = 6,020.84

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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.