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Finding the Fourth Proportional to 9,833.82, 13,572.54 and 5,857.26

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Solution

The fourth proportional to 9,833.82, 13,572.54 and 5,857.26 is: 8,084.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,833.82 : 13,572.54 = 5,857.26 : x
  2. Step 2: Convert to fraction form
    9,833.82/13,572.54 = 5,857.26/x
  3. Step 3: Cross multiply
    9,833.82x = 13,572.54 × 5,857.26
  4. Step 4: Simplify right side
    9,833.82x = 79,497,895.64
  5. Step 5: Solve for x
    x = 79,497,895.64/9,833.82
  6. Step 6: Final answer
    x = 8,084.13

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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.