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Finding the Fourth Proportional to 6,495.46, 9,744.21 and 2,111.89

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Solution

The fourth proportional to 6,495.46, 9,744.21 and 2,111.89 is: 3,168.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.46 : 9,744.21 = 2,111.89 : x
  2. Step 2: Convert to fraction form
    6,495.46/9,744.21 = 2,111.89/x
  3. Step 3: Cross multiply
    6,495.46x = 9,744.21 × 2,111.89
  4. Step 4: Simplify right side
    6,495.46x = 20,578,711.84
  5. Step 5: Solve for x
    x = 20,578,711.84/6,495.46
  6. Step 6: Final answer
    x = 3,168.17

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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.