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Finding the Fourth Proportional to 9,665.14, 14,498.94 and 2,739.64

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Solution

The fourth proportional to 9,665.14, 14,498.94 and 2,739.64 is: 4,109.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,665.14 : 14,498.94 = 2,739.64 : x
  2. Step 2: Convert to fraction form
    9,665.14/14,498.94 = 2,739.64/x
  3. Step 3: Cross multiply
    9,665.14x = 14,498.94 × 2,739.64
  4. Step 4: Simplify right side
    9,665.14x = 39,721,875.98
  5. Step 5: Solve for x
    x = 39,721,875.98/9,665.14
  6. Step 6: Final answer
    x = 4,109.81

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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.