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Finding the Fourth Proportional to 6,263.61, 9,395.42 and 1,646.25

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Solution

The fourth proportional to 6,263.61, 9,395.42 and 1,646.25 is: 2,469.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,263.61 : 9,395.42 = 1,646.25 : x
  2. Step 2: Convert to fraction form
    6,263.61/9,395.42 = 1,646.25/x
  3. Step 3: Cross multiply
    6,263.61x = 9,395.42 × 1,646.25
  4. Step 4: Simplify right side
    6,263.61x = 15,467,201.94
  5. Step 5: Solve for x
    x = 15,467,201.94/6,263.61
  6. Step 6: Final answer
    x = 2,469.38

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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.