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Finding the Fourth Proportional to 6,500.95, 9,732.28 and 4,027.81

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Solution

The fourth proportional to 6,500.95, 9,732.28 and 4,027.81 is: 6,029.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.95 : 9,732.28 = 4,027.81 : x
  2. Step 2: Convert to fraction form
    6,500.95/9,732.28 = 4,027.81/x
  3. Step 3: Cross multiply
    6,500.95x = 9,732.28 × 4,027.81
  4. Step 4: Simplify right side
    6,500.95x = 39,199,774.71
  5. Step 5: Solve for x
    x = 39,199,774.71/6,500.95
  6. Step 6: Final answer
    x = 6,029.85

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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.