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Finding the Fourth Proportional to 6,385.25, 9,583.81 and 3,267.50

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Solution

The fourth proportional to 6,385.25, 9,583.81 and 3,267.50 is: 4,904.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,385.25 : 9,583.81 = 3,267.50 : x
  2. Step 2: Convert to fraction form
    6,385.25/9,583.81 = 3,267.50/x
  3. Step 3: Cross multiply
    6,385.25x = 9,583.81 × 3,267.50
  4. Step 4: Simplify right side
    6,385.25x = 31,315,043.09
  5. Step 5: Solve for x
    x = 31,315,043.09/6,385.25
  6. Step 6: Final answer
    x = 4,904.28

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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.