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Finding the Fourth Proportional to 9,261.44, 13,892.32 and 2,336

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Solution

The fourth proportional to 9,261.44, 13,892.32 and 2,336 is: 3,504.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261.44 : 13,892.32 = 2,336 : x
  2. Step 2: Convert to fraction form
    9,261.44/13,892.32 = 2,336/x
  3. Step 3: Cross multiply
    9,261.44x = 13,892.32 × 2,336
  4. Step 4: Simplify right side
    9,261.44x = 32,452,459.52
  5. Step 5: Solve for x
    x = 32,452,459.52/9,261.44
  6. Step 6: Final answer
    x = 3,504.04

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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.