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Finding the Fourth Proportional to 9,180, 13,774.32 and 4,799.52

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Solution

The fourth proportional to 9,180, 13,774.32 and 4,799.52 is: 7,201.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180 : 13,774.32 = 4,799.52 : x
  2. Step 2: Convert to fraction form
    9,180/13,774.32 = 4,799.52/x
  3. Step 3: Cross multiply
    9,180x = 13,774.32 × 4,799.52
  4. Step 4: Simplify right side
    9,180x = 66,110,124.33
  5. Step 5: Solve for x
    x = 66,110,124.33/9,180
  6. Step 6: Final answer
    x = 7,201.54

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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.