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Finding the Fourth Proportional to 9,739.08, 14,600.42 and 3,892.50

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Solution

The fourth proportional to 9,739.08, 14,600.42 and 3,892.50 is: 5,835.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.08 : 14,600.42 = 3,892.50 : x
  2. Step 2: Convert to fraction form
    9,739.08/14,600.42 = 3,892.50/x
  3. Step 3: Cross multiply
    9,739.08x = 14,600.42 × 3,892.50
  4. Step 4: Simplify right side
    9,739.08x = 56,832,181.08
  5. Step 5: Solve for x
    x = 56,832,181.08/9,739.08
  6. Step 6: Final answer
    x = 5,835.48

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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.