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Finding the Fourth Proportional to 9,755.62, 14,633.93 and 5,594.52

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Solution

The fourth proportional to 9,755.62, 14,633.93 and 5,594.52 is: 8,392.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.62 : 14,633.93 = 5,594.52 : x
  2. Step 2: Convert to fraction form
    9,755.62/14,633.93 = 5,594.52/x
  3. Step 3: Cross multiply
    9,755.62x = 14,633.93 × 5,594.52
  4. Step 4: Simplify right side
    9,755.62x = 81,869,814.06
  5. Step 5: Solve for x
    x = 81,869,814.06/9,755.62
  6. Step 6: Final answer
    x = 8,392.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.