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Finding the Fourth Proportional to 9,119.81, 13,681.83 and 2,880.44

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Solution

The fourth proportional to 9,119.81, 13,681.83 and 2,880.44 is: 4,321.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.81 : 13,681.83 = 2,880.44 : x
  2. Step 2: Convert to fraction form
    9,119.81/13,681.83 = 2,880.44/x
  3. Step 3: Cross multiply
    9,119.81x = 13,681.83 × 2,880.44
  4. Step 4: Simplify right side
    9,119.81x = 39,409,690.41
  5. Step 5: Solve for x
    x = 39,409,690.41/9,119.81
  6. Step 6: Final answer
    x = 4,321.33

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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.