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Finding the Fourth Proportional to 7,086.84, 9,759.42 and 7,065.24

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Solution

The fourth proportional to 7,086.84, 9,759.42 and 7,065.24 is: 9,729.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,086.84 : 9,759.42 = 7,065.24 : x
  2. Step 2: Convert to fraction form
    7,086.84/9,759.42 = 7,065.24/x
  3. Step 3: Cross multiply
    7,086.84x = 9,759.42 × 7,065.24
  4. Step 4: Simplify right side
    7,086.84x = 68,952,644.56
  5. Step 5: Solve for x
    x = 68,952,644.56/7,086.84
  6. Step 6: Final answer
    x = 9,729.67

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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.