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Finding the Fourth Proportional to 6,329.25, 9,495.09 and 2,866.50

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Solution

The fourth proportional to 6,329.25, 9,495.09 and 2,866.50 is: 4,300.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.25 : 9,495.09 = 2,866.50 : x
  2. Step 2: Convert to fraction form
    6,329.25/9,495.09 = 2,866.50/x
  3. Step 3: Cross multiply
    6,329.25x = 9,495.09 × 2,866.50
  4. Step 4: Simplify right side
    6,329.25x = 27,217,675.49
  5. Step 5: Solve for x
    x = 27,217,675.49/6,329.25
  6. Step 6: Final answer
    x = 4,300.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.