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Finding the Fourth Proportional to 7,119.28, 9,825.06 and 3,975.67

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Solution

The fourth proportional to 7,119.28, 9,825.06 and 3,975.67 is: 5,486.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,119.28 : 9,825.06 = 3,975.67 : x
  2. Step 2: Convert to fraction form
    7,119.28/9,825.06 = 3,975.67/x
  3. Step 3: Cross multiply
    7,119.28x = 9,825.06 × 3,975.67
  4. Step 4: Simplify right side
    7,119.28x = 39,061,196.29
  5. Step 5: Solve for x
    x = 39,061,196.29/7,119.28
  6. Step 6: Final answer
    x = 5,486.68

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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.