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Finding the Fourth Proportional to 6,101.53, 9,155.77 and 2,814.64

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Solution

The fourth proportional to 6,101.53, 9,155.77 and 2,814.64 is: 4,223.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.53 : 9,155.77 = 2,814.64 : x
  2. Step 2: Convert to fraction form
    6,101.53/9,155.77 = 2,814.64/x
  3. Step 3: Cross multiply
    6,101.53x = 9,155.77 × 2,814.64
  4. Step 4: Simplify right side
    6,101.53x = 25,770,166.55
  5. Step 5: Solve for x
    x = 25,770,166.55/6,101.53
  6. Step 6: Final answer
    x = 4,223.56

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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.