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Finding the Fourth Proportional to 9,616.01, 14,407.61 and 7,767.99

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Solution

The fourth proportional to 9,616.01, 14,407.61 and 7,767.99 is: 11,638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.01 : 14,407.61 = 7,767.99 : x
  2. Step 2: Convert to fraction form
    9,616.01/14,407.61 = 7,767.99/x
  3. Step 3: Cross multiply
    9,616.01x = 14,407.61 × 7,767.99
  4. Step 4: Simplify right side
    9,616.01x = 111,918,131.56
  5. Step 5: Solve for x
    x = 111,918,131.56/9,616.01
  6. Step 6: Final answer
    x = 11,638.73

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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.