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Finding the Fourth Proportional to 9,179.34, 12,667.42 and 5,201.22

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Solution

The fourth proportional to 9,179.34, 12,667.42 and 5,201.22 is: 7,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,179.34 : 12,667.42 = 5,201.22 : x
  2. Step 2: Convert to fraction form
    9,179.34/12,667.42 = 5,201.22/x
  3. Step 3: Cross multiply
    9,179.34x = 12,667.42 × 5,201.22
  4. Step 4: Simplify right side
    9,179.34x = 65,886,038.25
  5. Step 5: Solve for x
    x = 65,886,038.25/9,179.34
  6. Step 6: Final answer
    x = 7,177.64

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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.