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Finding the Fourth Proportional to 6,625.16, 9,142.76 and 3,640.96

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Solution

The fourth proportional to 6,625.16, 9,142.76 and 3,640.96 is: 5,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.16 : 9,142.76 = 3,640.96 : x
  2. Step 2: Convert to fraction form
    6,625.16/9,142.76 = 3,640.96/x
  3. Step 3: Cross multiply
    6,625.16x = 9,142.76 × 3,640.96
  4. Step 4: Simplify right side
    6,625.16x = 33,288,423.45
  5. Step 5: Solve for x
    x = 33,288,423.45/6,625.16
  6. Step 6: Final answer
    x = 5,024.55

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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.