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Finding the Fourth Proportional to 9,568.80, 14,351.92 and 3,412

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Solution

The fourth proportional to 9,568.80, 14,351.92 and 3,412 is: 5,117.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,568.80 : 14,351.92 = 3,412 : x
  2. Step 2: Convert to fraction form
    9,568.80/14,351.92 = 3,412/x
  3. Step 3: Cross multiply
    9,568.80x = 14,351.92 × 3,412
  4. Step 4: Simplify right side
    9,568.80x = 48,968,751.04
  5. Step 5: Solve for x
    x = 48,968,751.04/9,568.80
  6. Step 6: Final answer
    x = 5,117.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.