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Finding the Fourth Proportional to 9,825.76, 13,554.48 and 6,093.28

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Solution

The fourth proportional to 9,825.76, 13,554.48 and 6,093.28 is: 8,405.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.76 : 13,554.48 = 6,093.28 : x
  2. Step 2: Convert to fraction form
    9,825.76/13,554.48 = 6,093.28/x
  3. Step 3: Cross multiply
    9,825.76x = 13,554.48 × 6,093.28
  4. Step 4: Simplify right side
    9,825.76x = 82,591,241.89
  5. Step 5: Solve for x
    x = 82,591,241.89/9,825.76
  6. Step 6: Final answer
    x = 8,405.58

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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.