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Finding the Fourth Proportional to 10,434.69, 14,397.74 and 6,183.87

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Solution

The fourth proportional to 10,434.69, 14,397.74 and 6,183.87 is: 8,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.69 : 14,397.74 = 6,183.87 : x
  2. Step 2: Convert to fraction form
    10,434.69/14,397.74 = 6,183.87/x
  3. Step 3: Cross multiply
    10,434.69x = 14,397.74 × 6,183.87
  4. Step 4: Simplify right side
    10,434.69x = 89,033,772.99
  5. Step 5: Solve for x
    x = 89,033,772.99/10,434.69
  6. Step 6: Final answer
    x = 8,532.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.