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Finding the Fourth Proportional to 6,504.16, 9,761.70 and 3,385.25

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Solution

The fourth proportional to 6,504.16, 9,761.70 and 3,385.25 is: 5,080.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.16 : 9,761.70 = 3,385.25 : x
  2. Step 2: Convert to fraction form
    6,504.16/9,761.70 = 3,385.25/x
  3. Step 3: Cross multiply
    6,504.16x = 9,761.70 × 3,385.25
  4. Step 4: Simplify right side
    6,504.16x = 33,045,794.93
  5. Step 5: Solve for x
    x = 33,045,794.93/6,504.16
  6. Step 6: Final answer
    x = 5,080.72

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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.