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Finding the Fourth Proportional to 9,178.25, 12,667.07 and 5,452.25

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Solution

The fourth proportional to 9,178.25, 12,667.07 and 5,452.25 is: 7,524.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.25 : 12,667.07 = 5,452.25 : x
  2. Step 2: Convert to fraction form
    9,178.25/12,667.07 = 5,452.25/x
  3. Step 3: Cross multiply
    9,178.25x = 12,667.07 × 5,452.25
  4. Step 4: Simplify right side
    9,178.25x = 69,064,005.15
  5. Step 5: Solve for x
    x = 69,064,005.15/9,178.25
  6. Step 6: Final answer
    x = 7,524.75

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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.