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Finding the Fourth Proportional to 9,749.26, 14,607.42 and 7,682.68

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Solution

The fourth proportional to 9,749.26, 14,607.42 and 7,682.68 is: 11,511.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,749.26 : 14,607.42 = 7,682.68 : x
  2. Step 2: Convert to fraction form
    9,749.26/14,607.42 = 7,682.68/x
  3. Step 3: Cross multiply
    9,749.26x = 14,607.42 × 7,682.68
  4. Step 4: Simplify right side
    9,749.26x = 112,224,133.49
  5. Step 5: Solve for x
    x = 112,224,133.49/9,749.26
  6. Step 6: Final answer
    x = 11,511.04

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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.