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Finding the Fourth Proportional to 9,342.82, 12,893.73 and 5,710.43

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Solution

The fourth proportional to 9,342.82, 12,893.73 and 5,710.43 is: 7,880.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,342.82 : 12,893.73 = 5,710.43 : x
  2. Step 2: Convert to fraction form
    9,342.82/12,893.73 = 5,710.43/x
  3. Step 3: Cross multiply
    9,342.82x = 12,893.73 × 5,710.43
  4. Step 4: Simplify right side
    9,342.82x = 73,628,678.14
  5. Step 5: Solve for x
    x = 73,628,678.14/9,342.82
  6. Step 6: Final answer
    x = 7,880.78

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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.