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Finding the Fourth Proportional to 6,420.16, 8,857.20 and 3,902.32

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Solution

The fourth proportional to 6,420.16, 8,857.20 and 3,902.32 is: 5,383.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,420.16 : 8,857.20 = 3,902.32 : x
  2. Step 2: Convert to fraction form
    6,420.16/8,857.20 = 3,902.32/x
  3. Step 3: Cross multiply
    6,420.16x = 8,857.20 × 3,902.32
  4. Step 4: Simplify right side
    6,420.16x = 34,563,628.70
  5. Step 5: Solve for x
    x = 34,563,628.70/6,420.16
  6. Step 6: Final answer
    x = 5,383.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.