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Finding the Fourth Proportional to 9,608.68, 14,438.94 and 5,455

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Solution

The fourth proportional to 9,608.68, 14,438.94 and 5,455 is: 8,197.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,608.68 : 14,438.94 = 5,455 : x
  2. Step 2: Convert to fraction form
    9,608.68/14,438.94 = 5,455/x
  3. Step 3: Cross multiply
    9,608.68x = 14,438.94 × 5,455
  4. Step 4: Simplify right side
    9,608.68x = 78,764,417.70
  5. Step 5: Solve for x
    x = 78,764,417.70/9,608.68
  6. Step 6: Final answer
    x = 8,197.22

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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.