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Finding the Fourth Proportional to 9,814.33, 13,541.93 and 5,836.42

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Solution

The fourth proportional to 9,814.33, 13,541.93 and 5,836.42 is: 8,053.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,814.33 : 13,541.93 = 5,836.42 : x
  2. Step 2: Convert to fraction form
    9,814.33/13,541.93 = 5,836.42/x
  3. Step 3: Cross multiply
    9,814.33x = 13,541.93 × 5,836.42
  4. Step 4: Simplify right side
    9,814.33x = 79,036,391.09
  5. Step 5: Solve for x
    x = 79,036,391.09/9,814.33
  6. Step 6: Final answer
    x = 8,053.16

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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.