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Finding the Fourth Proportional to 6,444.33, 9,657.32 and 3,812.37

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Solution

The fourth proportional to 6,444.33, 9,657.32 and 3,812.37 is: 5,713.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,444.33 : 9,657.32 = 3,812.37 : x
  2. Step 2: Convert to fraction form
    6,444.33/9,657.32 = 3,812.37/x
  3. Step 3: Cross multiply
    6,444.33x = 9,657.32 × 3,812.37
  4. Step 4: Simplify right side
    6,444.33x = 36,817,257.99
  5. Step 5: Solve for x
    x = 36,817,257.99/6,444.33
  6. Step 6: Final answer
    x = 5,713.12

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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.