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Finding the Fourth Proportional to 6,503.82, 9,756.74 and 2,120.26

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Solution

The fourth proportional to 6,503.82, 9,756.74 and 2,120.26 is: 3,180.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.82 : 9,756.74 = 2,120.26 : x
  2. Step 2: Convert to fraction form
    6,503.82/9,756.74 = 2,120.26/x
  3. Step 3: Cross multiply
    6,503.82x = 9,756.74 × 2,120.26
  4. Step 4: Simplify right side
    6,503.82x = 20,686,825.55
  5. Step 5: Solve for x
    x = 20,686,825.55/6,503.82
  6. Step 6: Final answer
    x = 3,180.72

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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.