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Finding the Fourth Proportional to 6,425.94, 9,620.64 and 4,228.02

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Solution

The fourth proportional to 6,425.94, 9,620.64 and 4,228.02 is: 6,330.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,425.94 : 9,620.64 = 4,228.02 : x
  2. Step 2: Convert to fraction form
    6,425.94/9,620.64 = 4,228.02/x
  3. Step 3: Cross multiply
    6,425.94x = 9,620.64 × 4,228.02
  4. Step 4: Simplify right side
    6,425.94x = 40,676,258.33
  5. Step 5: Solve for x
    x = 40,676,258.33/6,425.94
  6. Step 6: Final answer
    x = 6,330.01

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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.