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Finding the Fourth Proportional to 6,485.54, 9,726.68 and 2,104.25

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Solution

The fourth proportional to 6,485.54, 9,726.68 and 2,104.25 is: 3,155.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.54 : 9,726.68 = 2,104.25 : x
  2. Step 2: Convert to fraction form
    6,485.54/9,726.68 = 2,104.25/x
  3. Step 3: Cross multiply
    6,485.54x = 9,726.68 × 2,104.25
  4. Step 4: Simplify right side
    6,485.54x = 20,467,323.02
  5. Step 5: Solve for x
    x = 20,467,323.02/6,485.54
  6. Step 6: Final answer
    x = 3,155.84

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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.