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Finding the Fourth Proportional to 6,193.42, 9,285.98 and 2,441.77

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Solution

The fourth proportional to 6,193.42, 9,285.98 and 2,441.77 is: 3,661.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.42 : 9,285.98 = 2,441.77 : x
  2. Step 2: Convert to fraction form
    6,193.42/9,285.98 = 2,441.77/x
  3. Step 3: Cross multiply
    6,193.42x = 9,285.98 × 2,441.77
  4. Step 4: Simplify right side
    6,193.42x = 22,674,191.96
  5. Step 5: Solve for x
    x = 22,674,191.96/6,193.42
  6. Step 6: Final answer
    x = 3,661.01

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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.