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Finding the Fourth Proportional to 9,327.96, 13,992.08 and 2,308

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Solution

The fourth proportional to 9,327.96, 13,992.08 and 2,308 is: 3,462.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,327.96 : 13,992.08 = 2,308 : x
  2. Step 2: Convert to fraction form
    9,327.96/13,992.08 = 2,308/x
  3. Step 3: Cross multiply
    9,327.96x = 13,992.08 × 2,308
  4. Step 4: Simplify right side
    9,327.96x = 32,293,720.64
  5. Step 5: Solve for x
    x = 32,293,720.64/9,327.96
  6. Step 6: Final answer
    x = 3,462.03

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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.