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Finding the Fourth Proportional to 6,625.64, 9,143.58 and 3,641.66

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Solution

The fourth proportional to 6,625.64, 9,143.58 and 3,641.66 is: 5,025.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.64 : 9,143.58 = 3,641.66 : x
  2. Step 2: Convert to fraction form
    6,625.64/9,143.58 = 3,641.66/x
  3. Step 3: Cross multiply
    6,625.64x = 9,143.58 × 3,641.66
  4. Step 4: Simplify right side
    6,625.64x = 33,297,809.54
  5. Step 5: Solve for x
    x = 33,297,809.54/6,625.64
  6. Step 6: Final answer
    x = 5,025.60

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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.