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Finding the Fourth Proportional to 9,149.35, 12,629.06 and 5,372.42

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Solution

The fourth proportional to 9,149.35, 12,629.06 and 5,372.42 is: 7,415.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.35 : 12,629.06 = 5,372.42 : x
  2. Step 2: Convert to fraction form
    9,149.35/12,629.06 = 5,372.42/x
  3. Step 3: Cross multiply
    9,149.35x = 12,629.06 × 5,372.42
  4. Step 4: Simplify right side
    9,149.35x = 67,848,564.81
  5. Step 5: Solve for x
    x = 67,848,564.81/9,149.35
  6. Step 6: Final answer
    x = 7,415.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.