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Finding the Fourth Proportional to 7,119, 9,825.20 and 3,975.36

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Solution

The fourth proportional to 7,119, 9,825.20 and 3,975.36 is: 5,486.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119 : 9,825.20 = 3,975.36 : x
  2. Step 2: Convert to fraction form
    7,119/9,825.20 = 3,975.36/x
  3. Step 3: Cross multiply
    7,119x = 9,825.20 × 3,975.36
  4. Step 4: Simplify right side
    7,119x = 39,058,707.07
  5. Step 5: Solve for x
    x = 39,058,707.07/7,119
  6. Step 6: Final answer
    x = 5,486.54

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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.