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Finding the Fourth Proportional to 9,193.83, 12,690.09 and 5,419.19

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Solution

The fourth proportional to 9,193.83, 12,690.09 and 5,419.19 is: 7,480.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,193.83 : 12,690.09 = 5,419.19 : x
  2. Step 2: Convert to fraction form
    9,193.83/12,690.09 = 5,419.19/x
  3. Step 3: Cross multiply
    9,193.83x = 12,690.09 × 5,419.19
  4. Step 4: Simplify right side
    9,193.83x = 68,769,945.38
  5. Step 5: Solve for x
    x = 68,769,945.38/9,193.83
  6. Step 6: Final answer
    x = 7,480.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.