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Finding the Fourth Proportional to 6,745.56, 9,309.56 and 4,057.64

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Solution

The fourth proportional to 6,745.56, 9,309.56 and 4,057.64 is: 5,599.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,745.56 : 9,309.56 = 4,057.64 : x
  2. Step 2: Convert to fraction form
    6,745.56/9,309.56 = 4,057.64/x
  3. Step 3: Cross multiply
    6,745.56x = 9,309.56 × 4,057.64
  4. Step 4: Simplify right side
    6,745.56x = 37,774,776.20
  5. Step 5: Solve for x
    x = 37,774,776.20/6,745.56
  6. Step 6: Final answer
    x = 5,599.95

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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.