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Finding the Fourth Proportional to 9,137.48, 13,672.22 and 8,021.63

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Solution

The fourth proportional to 9,137.48, 13,672.22 and 8,021.63 is: 12,002.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,137.48 : 13,672.22 = 8,021.63 : x
  2. Step 2: Convert to fraction form
    9,137.48/13,672.22 = 8,021.63/x
  3. Step 3: Cross multiply
    9,137.48x = 13,672.22 × 8,021.63
  4. Step 4: Simplify right side
    9,137.48x = 109,673,484.19
  5. Step 5: Solve for x
    x = 109,673,484.19/9,137.48
  6. Step 6: Final answer
    x = 12,002.60

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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.