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Finding the Fourth Proportional to 6,282.40, 9,422.76 and 1,900.12

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Solution

The fourth proportional to 6,282.40, 9,422.76 and 1,900.12 is: 2,849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,282.40 : 9,422.76 = 1,900.12 : x
  2. Step 2: Convert to fraction form
    6,282.40/9,422.76 = 1,900.12/x
  3. Step 3: Cross multiply
    6,282.40x = 9,422.76 × 1,900.12
  4. Step 4: Simplify right side
    6,282.40x = 17,904,374.73
  5. Step 5: Solve for x
    x = 17,904,374.73/6,282.40
  6. Step 6: Final answer
    x = 2,849.93

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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.