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Finding the Fourth Proportional to 9,793.08, 14,696.91 and 5,409.36

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Solution

The fourth proportional to 9,793.08, 14,696.91 and 5,409.36 is: 8,118.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.08 : 14,696.91 = 5,409.36 : x
  2. Step 2: Convert to fraction form
    9,793.08/14,696.91 = 5,409.36/x
  3. Step 3: Cross multiply
    9,793.08x = 14,696.91 × 5,409.36
  4. Step 4: Simplify right side
    9,793.08x = 79,500,877.08
  5. Step 5: Solve for x
    x = 79,500,877.08/9,793.08
  6. Step 6: Final answer
    x = 8,118.07

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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.