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Finding the Fourth Proportional to 9,441.81, 14,161.80 and 2,868.06

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Solution

The fourth proportional to 9,441.81, 14,161.80 and 2,868.06 is: 4,301.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,441.81 : 14,161.80 = 2,868.06 : x
  2. Step 2: Convert to fraction form
    9,441.81/14,161.80 = 2,868.06/x
  3. Step 3: Cross multiply
    9,441.81x = 14,161.80 × 2,868.06
  4. Step 4: Simplify right side
    9,441.81x = 40,616,892.11
  5. Step 5: Solve for x
    x = 40,616,892.11/9,441.81
  6. Step 6: Final answer
    x = 4,301.81

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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.