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Finding the Fourth Proportional to 9,434.57, 13,019.76 and 5,899.82

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Solution

The fourth proportional to 9,434.57, 13,019.76 and 5,899.82 is: 8,141.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,434.57 : 13,019.76 = 5,899.82 : x
  2. Step 2: Convert to fraction form
    9,434.57/13,019.76 = 5,899.82/x
  3. Step 3: Cross multiply
    9,434.57x = 13,019.76 × 5,899.82
  4. Step 4: Simplify right side
    9,434.57x = 76,814,175.34
  5. Step 5: Solve for x
    x = 76,814,175.34/9,434.57
  6. Step 6: Final answer
    x = 8,141.78

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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.