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Finding the Fourth Proportional to 6,485.78, 9,729.04 and 2,103.60

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Solution

The fourth proportional to 6,485.78, 9,729.04 and 2,103.60 is: 3,155.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.78 : 9,729.04 = 2,103.60 : x
  2. Step 2: Convert to fraction form
    6,485.78/9,729.04 = 2,103.60/x
  3. Step 3: Cross multiply
    6,485.78x = 9,729.04 × 2,103.60
  4. Step 4: Simplify right side
    6,485.78x = 20,466,008.54
  5. Step 5: Solve for x
    x = 20,466,008.54/6,485.78
  6. Step 6: Final answer
    x = 3,155.52

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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.