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Finding the Fourth Proportional to 6,500.96, 9,745.52 and 2,339.99

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Solution

The fourth proportional to 6,500.96, 9,745.52 and 2,339.99 is: 3,507.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.96 : 9,745.52 = 2,339.99 : x
  2. Step 2: Convert to fraction form
    6,500.96/9,745.52 = 2,339.99/x
  3. Step 3: Cross multiply
    6,500.96x = 9,745.52 × 2,339.99
  4. Step 4: Simplify right side
    6,500.96x = 22,804,395.46
  5. Step 5: Solve for x
    x = 22,804,395.46/6,500.96
  6. Step 6: Final answer
    x = 3,507.85

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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.