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Finding the Fourth Proportional to 9,773.19, 14,659.78 and 3,928.43

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Solution

The fourth proportional to 9,773.19, 14,659.78 and 3,928.43 is: 5,892.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.19 : 14,659.78 = 3,928.43 : x
  2. Step 2: Convert to fraction form
    9,773.19/14,659.78 = 3,928.43/x
  3. Step 3: Cross multiply
    9,773.19x = 14,659.78 × 3,928.43
  4. Step 4: Simplify right side
    9,773.19x = 57,589,953.74
  5. Step 5: Solve for x
    x = 57,589,953.74/9,773.19
  6. Step 6: Final answer
    x = 5,892.65

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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.