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Finding the Fourth Proportional to 9,305.32, 13,967.70 and 5,845

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Solution

The fourth proportional to 9,305.32, 13,967.70 and 5,845 is: 8,773.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.32 : 13,967.70 = 5,845 : x
  2. Step 2: Convert to fraction form
    9,305.32/13,967.70 = 5,845/x
  3. Step 3: Cross multiply
    9,305.32x = 13,967.70 × 5,845
  4. Step 4: Simplify right side
    9,305.32x = 81,641,206.50
  5. Step 5: Solve for x
    x = 81,641,206.50/9,305.32
  6. Step 6: Final answer
    x = 8,773.61

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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.