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Finding the Fourth Proportional to 9,485.32, 13,096.22 and 6,136.24

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Solution

The fourth proportional to 9,485.32, 13,096.22 and 6,136.24 is: 8,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,485.32 : 13,096.22 = 6,136.24 : x
  2. Step 2: Convert to fraction form
    9,485.32/13,096.22 = 6,136.24/x
  3. Step 3: Cross multiply
    9,485.32x = 13,096.22 × 6,136.24
  4. Step 4: Simplify right side
    9,485.32x = 80,361,549.01
  5. Step 5: Solve for x
    x = 80,361,549.01/9,485.32
  6. Step 6: Final answer
    x = 8,472.20

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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.