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Finding the Fourth Proportional to 9,829.79, 14,744.91 and 3,256.49

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Solution

The fourth proportional to 9,829.79, 14,744.91 and 3,256.49 is: 4,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,829.79 : 14,744.91 = 3,256.49 : x
  2. Step 2: Convert to fraction form
    9,829.79/14,744.91 = 3,256.49/x
  3. Step 3: Cross multiply
    9,829.79x = 14,744.91 × 3,256.49
  4. Step 4: Simplify right side
    9,829.79x = 48,016,578.24
  5. Step 5: Solve for x
    x = 48,016,578.24/9,829.79
  6. Step 6: Final answer
    x = 4,884.80

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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.