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Finding the Fourth Proportional to 9,471.30, 14,209.92 and 3,927.26

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Solution

The fourth proportional to 9,471.30, 14,209.92 and 3,927.26 is: 5,892.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.30 : 14,209.92 = 3,927.26 : x
  2. Step 2: Convert to fraction form
    9,471.30/14,209.92 = 3,927.26/x
  3. Step 3: Cross multiply
    9,471.30x = 14,209.92 × 3,927.26
  4. Step 4: Simplify right side
    9,471.30x = 55,806,050.42
  5. Step 5: Solve for x
    x = 55,806,050.42/9,471.30
  6. Step 6: Final answer
    x = 5,892.12

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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.