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Finding the Fourth Proportional to 9,786.96, 13,506.04 and 5,310.71

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Solution

The fourth proportional to 9,786.96, 13,506.04 and 5,310.71 is: 7,328.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,786.96 : 13,506.04 = 5,310.71 : x
  2. Step 2: Convert to fraction form
    9,786.96/13,506.04 = 5,310.71/x
  3. Step 3: Cross multiply
    9,786.96x = 13,506.04 × 5,310.71
  4. Step 4: Simplify right side
    9,786.96x = 71,726,620.94
  5. Step 5: Solve for x
    x = 71,726,620.94/9,786.96
  6. Step 6: Final answer
    x = 7,328.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.