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Finding the Fourth Proportional to 9,608.02, 13,255.50 and 6,466.30

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Solution

The fourth proportional to 9,608.02, 13,255.50 and 6,466.30 is: 8,921.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.02 : 13,255.50 = 6,466.30 : x
  2. Step 2: Convert to fraction form
    9,608.02/13,255.50 = 6,466.30/x
  3. Step 3: Cross multiply
    9,608.02x = 13,255.50 × 6,466.30
  4. Step 4: Simplify right side
    9,608.02x = 85,714,039.65
  5. Step 5: Solve for x
    x = 85,714,039.65/9,608.02
  6. Step 6: Final answer
    x = 8,921.09

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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.