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Finding the Fourth Proportional to 6,500.35, 9,752.82 and 3,215.71

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Solution

The fourth proportional to 6,500.35, 9,752.82 and 3,215.71 is: 4,824.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.35 : 9,752.82 = 3,215.71 : x
  2. Step 2: Convert to fraction form
    6,500.35/9,752.82 = 3,215.71/x
  3. Step 3: Cross multiply
    6,500.35x = 9,752.82 × 3,215.71
  4. Step 4: Simplify right side
    6,500.35x = 31,362,240.80
  5. Step 5: Solve for x
    x = 31,362,240.80/6,500.35
  6. Step 6: Final answer
    x = 4,824.70

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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.