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Finding the Fourth Proportional to 6,325.98, 9,488.70 and 3,745.32

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Solution

The fourth proportional to 6,325.98, 9,488.70 and 3,745.32 is: 5,617.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.98 : 9,488.70 = 3,745.32 : x
  2. Step 2: Convert to fraction form
    6,325.98/9,488.70 = 3,745.32/x
  3. Step 3: Cross multiply
    6,325.98x = 9,488.70 × 3,745.32
  4. Step 4: Simplify right side
    6,325.98x = 35,538,217.88
  5. Step 5: Solve for x
    x = 35,538,217.88/6,325.98
  6. Step 6: Final answer
    x = 5,617.82

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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.