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Finding the Fourth Proportional to 6,196.63, 8,551.53 and 3,402.31

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Solution

The fourth proportional to 6,196.63, 8,551.53 and 3,402.31 is: 4,695.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,196.63 : 8,551.53 = 3,402.31 : x
  2. Step 2: Convert to fraction form
    6,196.63/8,551.53 = 3,402.31/x
  3. Step 3: Cross multiply
    6,196.63x = 8,551.53 × 3,402.31
  4. Step 4: Simplify right side
    6,196.63x = 29,094,896.27
  5. Step 5: Solve for x
    x = 29,094,896.27/6,196.63
  6. Step 6: Final answer
    x = 4,695.28

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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.