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Finding the Fourth Proportional to 9,791.55, 14,684.36 and 2,771.01

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Solution

The fourth proportional to 9,791.55, 14,684.36 and 2,771.01 is: 4,155.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,791.55 : 14,684.36 = 2,771.01 : x
  2. Step 2: Convert to fraction form
    9,791.55/14,684.36 = 2,771.01/x
  3. Step 3: Cross multiply
    9,791.55x = 14,684.36 × 2,771.01
  4. Step 4: Simplify right side
    9,791.55x = 40,690,494.55
  5. Step 5: Solve for x
    x = 40,690,494.55/9,791.55
  6. Step 6: Final answer
    x = 4,155.67

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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.