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Finding the Fourth Proportional to 6,485.42, 9,728.46 and 2,785.10

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Solution

The fourth proportional to 6,485.42, 9,728.46 and 2,785.10 is: 4,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,485.42 : 9,728.46 = 2,785.10 : x
  2. Step 2: Convert to fraction form
    6,485.42/9,728.46 = 2,785.10/x
  3. Step 3: Cross multiply
    6,485.42x = 9,728.46 × 2,785.10
  4. Step 4: Simplify right side
    6,485.42x = 27,094,733.95
  5. Step 5: Solve for x
    x = 27,094,733.95/6,485.42
  6. Step 6: Final answer
    x = 4,177.79

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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.