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Finding the Fourth Proportional to 9,606.69, 14,410.02 and 4,344.20

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Solution

The fourth proportional to 9,606.69, 14,410.02 and 4,344.20 is: 6,516.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.69 : 14,410.02 = 4,344.20 : x
  2. Step 2: Convert to fraction form
    9,606.69/14,410.02 = 4,344.20/x
  3. Step 3: Cross multiply
    9,606.69x = 14,410.02 × 4,344.20
  4. Step 4: Simplify right side
    9,606.69x = 62,599,936.83
  5. Step 5: Solve for x
    x = 62,599,936.83/9,606.69
  6. Step 6: Final answer
    x = 6,516.29

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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.