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Finding the Fourth Proportional to 6,443.50, 9,665.45 and 3,065.55

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Solution

The fourth proportional to 6,443.50, 9,665.45 and 3,065.55 is: 4,598.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,443.50 : 9,665.45 = 3,065.55 : x
  2. Step 2: Convert to fraction form
    6,443.50/9,665.45 = 3,065.55/x
  3. Step 3: Cross multiply
    6,443.50x = 9,665.45 × 3,065.55
  4. Step 4: Simplify right side
    6,443.50x = 29,629,904.92
  5. Step 5: Solve for x
    x = 29,629,904.92/6,443.50
  6. Step 6: Final answer
    x = 4,598.42

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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.