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Finding the Fourth Proportional to 9,806.40, 14,709.53 and 3,233.12

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Solution

The fourth proportional to 9,806.40, 14,709.53 and 3,233.12 is: 4,849.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.40 : 14,709.53 = 3,233.12 : x
  2. Step 2: Convert to fraction form
    9,806.40/14,709.53 = 3,233.12/x
  3. Step 3: Cross multiply
    9,806.40x = 14,709.53 × 3,233.12
  4. Step 4: Simplify right side
    9,806.40x = 47,557,610.17
  5. Step 5: Solve for x
    x = 47,557,610.17/9,806.40
  6. Step 6: Final answer
    x = 4,849.65

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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.