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Finding the Fourth Proportional to 6,401.04, 9,591.04 and 5,570

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Solution

The fourth proportional to 6,401.04, 9,591.04 and 5,570 is: 8,345.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.04 : 9,591.04 = 5,570 : x
  2. Step 2: Convert to fraction form
    6,401.04/9,591.04 = 5,570/x
  3. Step 3: Cross multiply
    6,401.04x = 9,591.04 × 5,570
  4. Step 4: Simplify right side
    6,401.04x = 53,422,092.80
  5. Step 5: Solve for x
    x = 53,422,092.80/6,401.04
  6. Step 6: Final answer
    x = 8,345.85

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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.