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Finding the Fourth Proportional to 6,283.48, 9,425.82 and 1,900.16

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Solution

The fourth proportional to 6,283.48, 9,425.82 and 1,900.16 is: 2,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,283.48 : 9,425.82 = 1,900.16 : x
  2. Step 2: Convert to fraction form
    6,283.48/9,425.82 = 1,900.16/x
  3. Step 3: Cross multiply
    6,283.48x = 9,425.82 × 1,900.16
  4. Step 4: Simplify right side
    6,283.48x = 17,910,566.13
  5. Step 5: Solve for x
    x = 17,910,566.13/6,283.48
  6. Step 6: Final answer
    x = 2,850.42

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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.