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Finding the Fourth Proportional to 6,294.48, 9,437.11 and 3,172.94

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Solution

The fourth proportional to 6,294.48, 9,437.11 and 3,172.94 is: 4,757.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,294.48 : 9,437.11 = 3,172.94 : x
  2. Step 2: Convert to fraction form
    6,294.48/9,437.11 = 3,172.94/x
  3. Step 3: Cross multiply
    6,294.48x = 9,437.11 × 3,172.94
  4. Step 4: Simplify right side
    6,294.48x = 29,943,364.07
  5. Step 5: Solve for x
    x = 29,943,364.07/6,294.48
  6. Step 6: Final answer
    x = 4,757.09

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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.