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Finding the Fourth Proportional to 9,664.84, 14,499.42 and 3,091.42

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Solution

The fourth proportional to 9,664.84, 14,499.42 and 3,091.42 is: 4,637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,664.84 : 14,499.42 = 3,091.42 : x
  2. Step 2: Convert to fraction form
    9,664.84/14,499.42 = 3,091.42/x
  3. Step 3: Cross multiply
    9,664.84x = 14,499.42 × 3,091.42
  4. Step 4: Simplify right side
    9,664.84x = 44,823,796.98
  5. Step 5: Solve for x
    x = 44,823,796.98/9,664.84
  6. Step 6: Final answer
    x = 4,637.82

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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.