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Finding the Fourth Proportional to 9,471.84, 14,204.34 and 2,806.35

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Solution

The fourth proportional to 9,471.84, 14,204.34 and 2,806.35 is: 4,208.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,471.84 : 14,204.34 = 2,806.35 : x
  2. Step 2: Convert to fraction form
    9,471.84/14,204.34 = 2,806.35/x
  3. Step 3: Cross multiply
    9,471.84x = 14,204.34 × 2,806.35
  4. Step 4: Simplify right side
    9,471.84x = 39,862,349.56
  5. Step 5: Solve for x
    x = 39,862,349.56/9,471.84
  6. Step 6: Final answer
    x = 4,208.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.