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Finding the Fourth Proportional to 9,682.21, 14,529.78 and 3,526.21

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Solution

The fourth proportional to 9,682.21, 14,529.78 and 3,526.21 is: 5,291.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.21 : 14,529.78 = 3,526.21 : x
  2. Step 2: Convert to fraction form
    9,682.21/14,529.78 = 3,526.21/x
  3. Step 3: Cross multiply
    9,682.21x = 14,529.78 × 3,526.21
  4. Step 4: Simplify right side
    9,682.21x = 51,235,055.53
  5. Step 5: Solve for x
    x = 51,235,055.53/9,682.21
  6. Step 6: Final answer
    x = 5,291.67

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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.