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Finding the Fourth Proportional to 13,093.65, 19,638.32 and 6,073.38

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Solution

The fourth proportional to 13,093.65, 19,638.32 and 6,073.38 is: 9,109.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,093.65 : 19,638.32 = 6,073.38 : x
  2. Step 2: Convert to fraction form
    13,093.65/19,638.32 = 6,073.38/x
  3. Step 3: Cross multiply
    13,093.65x = 19,638.32 × 6,073.38
  4. Step 4: Simplify right side
    13,093.65x = 119,270,949.55
  5. Step 5: Solve for x
    x = 119,270,949.55/13,093.65
  6. Step 6: Final answer
    x = 9,109.07

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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.