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Finding the Fourth Proportional to 6,193.02, 9,289.59 and 4,958.82

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Solution

The fourth proportional to 6,193.02, 9,289.59 and 4,958.82 is: 7,438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.02 : 9,289.59 = 4,958.82 : x
  2. Step 2: Convert to fraction form
    6,193.02/9,289.59 = 4,958.82/x
  3. Step 3: Cross multiply
    6,193.02x = 9,289.59 × 4,958.82
  4. Step 4: Simplify right side
    6,193.02x = 46,065,404.68
  5. Step 5: Solve for x
    x = 46,065,404.68/6,193.02
  6. Step 6: Final answer
    x = 7,438.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.