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Finding the Fourth Proportional to 9,193.62, 13,768.50 and 5,289.84

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Solution

The fourth proportional to 9,193.62, 13,768.50 and 5,289.84 is: 7,922.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.62 : 13,768.50 = 5,289.84 : x
  2. Step 2: Convert to fraction form
    9,193.62/13,768.50 = 5,289.84/x
  3. Step 3: Cross multiply
    9,193.62x = 13,768.50 × 5,289.84
  4. Step 4: Simplify right side
    9,193.62x = 72,833,162.04
  5. Step 5: Solve for x
    x = 72,833,162.04/9,193.62
  6. Step 6: Final answer
    x = 7,922.14

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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.