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Finding the Fourth Proportional to 6,625.36, 9,142.84 and 3,641.16

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Solution

The fourth proportional to 6,625.36, 9,142.84 and 3,641.16 is: 5,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.36 : 9,142.84 = 3,641.16 : x
  2. Step 2: Convert to fraction form
    6,625.36/9,142.84 = 3,641.16/x
  3. Step 3: Cross multiply
    6,625.36x = 9,142.84 × 3,641.16
  4. Step 4: Simplify right side
    6,625.36x = 33,290,543.29
  5. Step 5: Solve for x
    x = 33,290,543.29/6,625.36
  6. Step 6: Final answer
    x = 5,024.71

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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.