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Finding the Fourth Proportional to 9,293.70, 13,928.79 and 5,393.55

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Solution

The fourth proportional to 9,293.70, 13,928.79 and 5,393.55 is: 8,083.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,293.70 : 13,928.79 = 5,393.55 : x
  2. Step 2: Convert to fraction form
    9,293.70/13,928.79 = 5,393.55/x
  3. Step 3: Cross multiply
    9,293.70x = 13,928.79 × 5,393.55
  4. Step 4: Simplify right side
    9,293.70x = 75,125,625.30
  5. Step 5: Solve for x
    x = 75,125,625.30/9,293.70
  6. Step 6: Final answer
    x = 8,083.50

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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.