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Finding the Fourth Proportional to 9,604.13, 14,389.81 and 6,817.01

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Solution

The fourth proportional to 9,604.13, 14,389.81 and 6,817.01 is: 10,213.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.13 : 14,389.81 = 6,817.01 : x
  2. Step 2: Convert to fraction form
    9,604.13/14,389.81 = 6,817.01/x
  3. Step 3: Cross multiply
    9,604.13x = 14,389.81 × 6,817.01
  4. Step 4: Simplify right side
    9,604.13x = 98,095,389.68
  5. Step 5: Solve for x
    x = 98,095,389.68/9,604.13
  6. Step 6: Final answer
    x = 10,213.88

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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.