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Finding the Fourth Proportional to 9,706.08, 14,559.12 and 7,749.12

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Solution

The fourth proportional to 9,706.08, 14,559.12 and 7,749.12 is: 11,623.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.08 : 14,559.12 = 7,749.12 : x
  2. Step 2: Convert to fraction form
    9,706.08/14,559.12 = 7,749.12/x
  3. Step 3: Cross multiply
    9,706.08x = 14,559.12 × 7,749.12
  4. Step 4: Simplify right side
    9,706.08x = 112,820,367.97
  5. Step 5: Solve for x
    x = 112,820,367.97/9,706.08
  6. Step 6: Final answer
    x = 11,623.68

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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.