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Finding the Fourth Proportional to 9,218.16, 13,828.05 and 3,672.90

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Solution

The fourth proportional to 9,218.16, 13,828.05 and 3,672.90 is: 5,509.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.16 : 13,828.05 = 3,672.90 : x
  2. Step 2: Convert to fraction form
    9,218.16/13,828.05 = 3,672.90/x
  3. Step 3: Cross multiply
    9,218.16x = 13,828.05 × 3,672.90
  4. Step 4: Simplify right side
    9,218.16x = 50,789,044.85
  5. Step 5: Solve for x
    x = 50,789,044.85/9,218.16
  6. Step 6: Final answer
    x = 5,509.67

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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.