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Finding the Fourth Proportional to 7,745.45, 11,616.95 and 6,437.60

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Solution

The fourth proportional to 7,745.45, 11,616.95 and 6,437.60 is: 9,655.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.45 : 11,616.95 = 6,437.60 : x
  2. Step 2: Convert to fraction form
    7,745.45/11,616.95 = 6,437.60/x
  3. Step 3: Cross multiply
    7,745.45x = 11,616.95 × 6,437.60
  4. Step 4: Simplify right side
    7,745.45x = 74,785,187.05
  5. Step 5: Solve for x
    x = 74,785,187.05/7,745.45
  6. Step 6: Final answer
    x = 9,655.38

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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.