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Finding the Fourth Proportional to 9,042.36, 13,565.69 and 3,774.44

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Solution

The fourth proportional to 9,042.36, 13,565.69 and 3,774.44 is: 5,662.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,042.36 : 13,565.69 = 3,774.44 : x
  2. Step 2: Convert to fraction form
    9,042.36/13,565.69 = 3,774.44/x
  3. Step 3: Cross multiply
    9,042.36x = 13,565.69 × 3,774.44
  4. Step 4: Simplify right side
    9,042.36x = 51,202,895.24
  5. Step 5: Solve for x
    x = 51,202,895.24/9,042.36
  6. Step 6: Final answer
    x = 5,662.56

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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.