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Finding the Fourth Proportional to 9,852.62, 14,792.60 and 6,169.34

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Solution

The fourth proportional to 9,852.62, 14,792.60 and 6,169.34 is: 9,262.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,852.62 : 14,792.60 = 6,169.34 : x
  2. Step 2: Convert to fraction form
    9,852.62/14,792.60 = 6,169.34/x
  3. Step 3: Cross multiply
    9,852.62x = 14,792.60 × 6,169.34
  4. Step 4: Simplify right side
    9,852.62x = 91,260,578.88
  5. Step 5: Solve for x
    x = 91,260,578.88/9,852.62
  6. Step 6: Final answer
    x = 9,262.57

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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.