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Finding the Fourth Proportional to 9,394, 14,093.16 and 3,238

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Solution

The fourth proportional to 9,394, 14,093.16 and 3,238 is: 4,857.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394 : 14,093.16 = 3,238 : x
  2. Step 2: Convert to fraction form
    9,394/14,093.16 = 3,238/x
  3. Step 3: Cross multiply
    9,394x = 14,093.16 × 3,238
  4. Step 4: Simplify right side
    9,394x = 45,633,652.08
  5. Step 5: Solve for x
    x = 45,633,652.08/9,394
  6. Step 6: Final answer
    x = 4,857.74

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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.