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Finding the Fourth Proportional to 9,825.08, 13,554.69 and 5,844.74

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Solution

The fourth proportional to 9,825.08, 13,554.69 and 5,844.74 is: 8,063.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.08 : 13,554.69 = 5,844.74 : x
  2. Step 2: Convert to fraction form
    9,825.08/13,554.69 = 5,844.74/x
  3. Step 3: Cross multiply
    9,825.08x = 13,554.69 × 5,844.74
  4. Step 4: Simplify right side
    9,825.08x = 79,223,638.83
  5. Step 5: Solve for x
    x = 79,223,638.83/9,825.08
  6. Step 6: Final answer
    x = 8,063.41

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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.