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Finding the Fourth Proportional to 9,664.88, 14,499.74 and 2,739.38

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Solution

The fourth proportional to 9,664.88, 14,499.74 and 2,739.38 is: 4,109.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.88 : 14,499.74 = 2,739.38 : x
  2. Step 2: Convert to fraction form
    9,664.88/14,499.74 = 2,739.38/x
  3. Step 3: Cross multiply
    9,664.88x = 14,499.74 × 2,739.38
  4. Step 4: Simplify right side
    9,664.88x = 39,720,232.11
  5. Step 5: Solve for x
    x = 39,720,232.11/9,664.88
  6. Step 6: Final answer
    x = 4,109.75

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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.