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Finding the Fourth Proportional to 9,708.16, 14,563.12 and 3,863.44

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Solution

The fourth proportional to 9,708.16, 14,563.12 and 3,863.44 is: 5,795.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.16 : 14,563.12 = 3,863.44 : x
  2. Step 2: Convert to fraction form
    9,708.16/14,563.12 = 3,863.44/x
  3. Step 3: Cross multiply
    9,708.16x = 14,563.12 × 3,863.44
  4. Step 4: Simplify right side
    9,708.16x = 56,263,740.33
  5. Step 5: Solve for x
    x = 56,263,740.33/9,708.16
  6. Step 6: Final answer
    x = 5,795.51

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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.