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Finding the Fourth Proportional to 9,371.43, 12,935.84 and 6,023.43

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Solution

The fourth proportional to 9,371.43, 12,935.84 and 6,023.43 is: 8,314.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,371.43 : 12,935.84 = 6,023.43 : x
  2. Step 2: Convert to fraction form
    9,371.43/12,935.84 = 6,023.43/x
  3. Step 3: Cross multiply
    9,371.43x = 12,935.84 × 6,023.43
  4. Step 4: Simplify right side
    9,371.43x = 77,918,096.61
  5. Step 5: Solve for x
    x = 77,918,096.61/9,371.43
  6. Step 6: Final answer
    x = 8,314.43

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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.