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Finding the Fourth Proportional to 6,166.77, 9,228.15 and 4,519.23

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Solution

The fourth proportional to 6,166.77, 9,228.15 and 4,519.23 is: 6,762.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,166.77 : 9,228.15 = 4,519.23 : x
  2. Step 2: Convert to fraction form
    6,166.77/9,228.15 = 4,519.23/x
  3. Step 3: Cross multiply
    6,166.77x = 9,228.15 × 4,519.23
  4. Step 4: Simplify right side
    6,166.77x = 41,704,132.32
  5. Step 5: Solve for x
    x = 41,704,132.32/6,166.77
  6. Step 6: Final answer
    x = 6,762.72

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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.