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Finding the Fourth Proportional to 9,342.84, 12,889.22 and 5,361.83

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Solution

The fourth proportional to 9,342.84, 12,889.22 and 5,361.83 is: 7,397.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.84 : 12,889.22 = 5,361.83 : x
  2. Step 2: Convert to fraction form
    9,342.84/12,889.22 = 5,361.83/x
  3. Step 3: Cross multiply
    9,342.84x = 12,889.22 × 5,361.83
  4. Step 4: Simplify right side
    9,342.84x = 69,109,715.22
  5. Step 5: Solve for x
    x = 69,109,715.22/9,342.84
  6. Step 6: Final answer
    x = 7,397.08

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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.