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Finding the Fourth Proportional to 9,792.36, 14,668.20 and 6,494.94

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Solution

The fourth proportional to 9,792.36, 14,668.20 and 6,494.94 is: 9,728.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,792.36 : 14,668.20 = 6,494.94 : x
  2. Step 2: Convert to fraction form
    9,792.36/14,668.20 = 6,494.94/x
  3. Step 3: Cross multiply
    9,792.36x = 14,668.20 × 6,494.94
  4. Step 4: Simplify right side
    9,792.36x = 95,269,078.91
  5. Step 5: Solve for x
    x = 95,269,078.91/9,792.36
  6. Step 6: Final answer
    x = 9,728.92

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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.