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Finding the Fourth Proportional to 6,415.49, 8,855.73 and 3,765.12

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Solution

The fourth proportional to 6,415.49, 8,855.73 and 3,765.12 is: 5,197.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,415.49 : 8,855.73 = 3,765.12 : x
  2. Step 2: Convert to fraction form
    6,415.49/8,855.73 = 3,765.12/x
  3. Step 3: Cross multiply
    6,415.49x = 8,855.73 × 3,765.12
  4. Step 4: Simplify right side
    6,415.49x = 33,342,886.14
  5. Step 5: Solve for x
    x = 33,342,886.14/6,415.49
  6. Step 6: Final answer
    x = 5,197.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.