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Finding the Fourth Proportional to 9,349.31, 14,023.85 and 5,406.50

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Solution

The fourth proportional to 9,349.31, 14,023.85 and 5,406.50 is: 8,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.31 : 14,023.85 = 5,406.50 : x
  2. Step 2: Convert to fraction form
    9,349.31/14,023.85 = 5,406.50/x
  3. Step 3: Cross multiply
    9,349.31x = 14,023.85 × 5,406.50
  4. Step 4: Simplify right side
    9,349.31x = 75,819,847.87
  5. Step 5: Solve for x
    x = 75,819,847.87/9,349.31
  6. Step 6: Final answer
    x = 8,109.68

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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.