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Finding the Fourth Proportional to 6,257.52, 9,378.99 and 2,792.34

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Solution

The fourth proportional to 6,257.52, 9,378.99 and 2,792.34 is: 4,185.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.52 : 9,378.99 = 2,792.34 : x
  2. Step 2: Convert to fraction form
    6,257.52/9,378.99 = 2,792.34/x
  3. Step 3: Cross multiply
    6,257.52x = 9,378.99 × 2,792.34
  4. Step 4: Simplify right side
    6,257.52x = 26,189,328.94
  5. Step 5: Solve for x
    x = 26,189,328.94/6,257.52
  6. Step 6: Final answer
    x = 4,185.26

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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.