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Finding the Fourth Proportional to 9,665.12, 14,498.94 and 2,739.80

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Solution

The fourth proportional to 9,665.12, 14,498.94 and 2,739.80 is: 4,110.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.12 : 14,498.94 = 2,739.80 : x
  2. Step 2: Convert to fraction form
    9,665.12/14,498.94 = 2,739.80/x
  3. Step 3: Cross multiply
    9,665.12x = 14,498.94 × 2,739.80
  4. Step 4: Simplify right side
    9,665.12x = 39,724,109.62
  5. Step 5: Solve for x
    x = 39,724,109.62/9,665.12
  6. Step 6: Final answer
    x = 4,110.05

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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.