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Finding the Fourth Proportional to 9,606.72, 13,252.56 and 6,420.78

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Solution

The fourth proportional to 9,606.72, 13,252.56 and 6,420.78 is: 8,857.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.72 : 13,252.56 = 6,420.78 : x
  2. Step 2: Convert to fraction form
    9,606.72/13,252.56 = 6,420.78/x
  3. Step 3: Cross multiply
    9,606.72x = 13,252.56 × 6,420.78
  4. Step 4: Simplify right side
    9,606.72x = 85,091,772.20
  5. Step 5: Solve for x
    x = 85,091,772.20/9,606.72
  6. Step 6: Final answer
    x = 8,857.53

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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.