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Finding the Fourth Proportional to 8,993.69, 13,490.49 and 2,419.34

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Solution

The fourth proportional to 8,993.69, 13,490.49 and 2,419.34 is: 3,629.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,993.69 : 13,490.49 = 2,419.34 : x
  2. Step 2: Convert to fraction form
    8,993.69/13,490.49 = 2,419.34/x
  3. Step 3: Cross multiply
    8,993.69x = 13,490.49 × 2,419.34
  4. Step 4: Simplify right side
    8,993.69x = 32,638,082.08
  5. Step 5: Solve for x
    x = 32,638,082.08/8,993.69
  6. Step 6: Final answer
    x = 3,629.00

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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.