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Finding the Fourth Proportional to 9,149.85, 13,722.72 and 5,453.13

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Solution

The fourth proportional to 9,149.85, 13,722.72 and 5,453.13 is: 8,178.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.85 : 13,722.72 = 5,453.13 : x
  2. Step 2: Convert to fraction form
    9,149.85/13,722.72 = 5,453.13/x
  3. Step 3: Cross multiply
    9,149.85x = 13,722.72 × 5,453.13
  4. Step 4: Simplify right side
    9,149.85x = 74,831,776.11
  5. Step 5: Solve for x
    x = 74,831,776.11/9,149.85
  6. Step 6: Final answer
    x = 8,178.47

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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.