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Finding the Fourth Proportional to 9,661.68, 14,467.08 and 7,777.38

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Solution

The fourth proportional to 9,661.68, 14,467.08 and 7,777.38 is: 11,645.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,661.68 : 14,467.08 = 7,777.38 : x
  2. Step 2: Convert to fraction form
    9,661.68/14,467.08 = 7,777.38/x
  3. Step 3: Cross multiply
    9,661.68x = 14,467.08 × 7,777.38
  4. Step 4: Simplify right side
    9,661.68x = 112,515,978.65
  5. Step 5: Solve for x
    x = 112,515,978.65/9,661.68
  6. Step 6: Final answer
    x = 11,645.59

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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.