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Finding the Fourth Proportional to 9,773.63, 14,660.44 and 3,928.87

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Solution

The fourth proportional to 9,773.63, 14,660.44 and 3,928.87 is: 5,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.63 : 14,660.44 = 3,928.87 : x
  2. Step 2: Convert to fraction form
    9,773.63/14,660.44 = 3,928.87/x
  3. Step 3: Cross multiply
    9,773.63x = 14,660.44 × 3,928.87
  4. Step 4: Simplify right side
    9,773.63x = 57,598,869.96
  5. Step 5: Solve for x
    x = 57,598,869.96/9,773.63
  6. Step 6: Final answer
    x = 5,893.30

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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.