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Finding the Fourth Proportional to 9,682.22, 13,361.46 and 5,490.47

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Solution

The fourth proportional to 9,682.22, 13,361.46 and 5,490.47 is: 7,576.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.22 : 13,361.46 = 5,490.47 : x
  2. Step 2: Convert to fraction form
    9,682.22/13,361.46 = 5,490.47/x
  3. Step 3: Cross multiply
    9,682.22x = 13,361.46 × 5,490.47
  4. Step 4: Simplify right side
    9,682.22x = 73,360,688.88
  5. Step 5: Solve for x
    x = 73,360,688.88/9,682.22
  6. Step 6: Final answer
    x = 7,576.85

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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.