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Finding the Fourth Proportional to 9,796.85, 14,684.34 and 4,241.87

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Solution

The fourth proportional to 9,796.85, 14,684.34 and 4,241.87 is: 6,358.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.85 : 14,684.34 = 4,241.87 : x
  2. Step 2: Convert to fraction form
    9,796.85/14,684.34 = 4,241.87/x
  3. Step 3: Cross multiply
    9,796.85x = 14,684.34 × 4,241.87
  4. Step 4: Simplify right side
    9,796.85x = 62,289,035.01
  5. Step 5: Solve for x
    x = 62,289,035.01/9,796.85
  6. Step 6: Final answer
    x = 6,358.07

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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.