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Finding the Fourth Proportional to 9,797.85, 13,521.05 and 5,321.67

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Solution

The fourth proportional to 9,797.85, 13,521.05 and 5,321.67 is: 7,343.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.85 : 13,521.05 = 5,321.67 : x
  2. Step 2: Convert to fraction form
    9,797.85/13,521.05 = 5,321.67/x
  3. Step 3: Cross multiply
    9,797.85x = 13,521.05 × 5,321.67
  4. Step 4: Simplify right side
    9,797.85x = 71,954,539.55
  5. Step 5: Solve for x
    x = 71,954,539.55/9,797.85
  6. Step 6: Final answer
    x = 7,343.91

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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.