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Finding the Fourth Proportional to 9,805.96, 13,533.37 and 5,827.07

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Solution

The fourth proportional to 9,805.96, 13,533.37 and 5,827.07 is: 8,042.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.96 : 13,533.37 = 5,827.07 : x
  2. Step 2: Convert to fraction form
    9,805.96/13,533.37 = 5,827.07/x
  3. Step 3: Cross multiply
    9,805.96x = 13,533.37 × 5,827.07
  4. Step 4: Simplify right side
    9,805.96x = 78,859,865.19
  5. Step 5: Solve for x
    x = 78,859,865.19/9,805.96
  6. Step 6: Final answer
    x = 8,042.04

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