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Finding the Fourth Proportional to 9,739.34, 14,621.56 and 8,361.53

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Solution

The fourth proportional to 9,739.34, 14,621.56 and 8,361.53 is: 12,553.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.34 : 14,621.56 = 8,361.53 : x
  2. Step 2: Convert to fraction form
    9,739.34/14,621.56 = 8,361.53/x
  3. Step 3: Cross multiply
    9,739.34x = 14,621.56 × 8,361.53
  4. Step 4: Simplify right side
    9,739.34x = 122,258,497.67
  5. Step 5: Solve for x
    x = 122,258,497.67/9,739.34
  6. Step 6: Final answer
    x = 12,553.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.