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Finding the Fourth Proportional to 9,825.72, 13,554.33 and 5,844

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Solution

The fourth proportional to 9,825.72, 13,554.33 and 5,844 is: 8,061.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.72 : 13,554.33 = 5,844 : x
  2. Step 2: Convert to fraction form
    9,825.72/13,554.33 = 5,844/x
  3. Step 3: Cross multiply
    9,825.72x = 13,554.33 × 5,844
  4. Step 4: Simplify right side
    9,825.72x = 79,211,504.52
  5. Step 5: Solve for x
    x = 79,211,504.52/9,825.72
  6. Step 6: Final answer
    x = 8,061.65

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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.