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Finding the Fourth Proportional to 9,684.54, 14,525.05 and 2,568.82

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Solution

The fourth proportional to 9,684.54, 14,525.05 and 2,568.82 is: 3,852.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,684.54 : 14,525.05 = 2,568.82 : x
  2. Step 2: Convert to fraction form
    9,684.54/14,525.05 = 2,568.82/x
  3. Step 3: Cross multiply
    9,684.54x = 14,525.05 × 2,568.82
  4. Step 4: Simplify right side
    9,684.54x = 37,312,238.94
  5. Step 5: Solve for x
    x = 37,312,238.94/9,684.54
  6. Step 6: Final answer
    x = 3,852.76

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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.