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Finding the Fourth Proportional to 6,510.35, 9,765.98 and 3,222.56

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Solution

The fourth proportional to 6,510.35, 9,765.98 and 3,222.56 is: 4,834.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,510.35 : 9,765.98 = 3,222.56 : x
  2. Step 2: Convert to fraction form
    6,510.35/9,765.98 = 3,222.56/x
  3. Step 3: Cross multiply
    6,510.35x = 9,765.98 × 3,222.56
  4. Step 4: Simplify right side
    6,510.35x = 31,471,495.02
  5. Step 5: Solve for x
    x = 31,471,495.02/6,510.35
  6. Step 6: Final answer
    x = 4,834.07

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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.