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Finding the Fourth Proportional to 6,625.60, 9,143.49 and 3,641.50

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Solution

The fourth proportional to 6,625.60, 9,143.49 and 3,641.50 is: 5,025.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,625.60 : 9,143.49 = 3,641.50 : x
  2. Step 2: Convert to fraction form
    6,625.60/9,143.49 = 3,641.50/x
  3. Step 3: Cross multiply
    6,625.60x = 9,143.49 × 3,641.50
  4. Step 4: Simplify right side
    6,625.60x = 33,296,018.84
  5. Step 5: Solve for x
    x = 33,296,018.84/6,625.60
  6. Step 6: Final answer
    x = 5,025.36

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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.