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Finding the Fourth Proportional to 9,554.66, 13,185.17 and 5,728.46

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Solution

The fourth proportional to 9,554.66, 13,185.17 and 5,728.46 is: 7,905.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,554.66 : 13,185.17 = 5,728.46 : x
  2. Step 2: Convert to fraction form
    9,554.66/13,185.17 = 5,728.46/x
  3. Step 3: Cross multiply
    9,554.66x = 13,185.17 × 5,728.46
  4. Step 4: Simplify right side
    9,554.66x = 75,530,645.85
  5. Step 5: Solve for x
    x = 75,530,645.85/9,554.66
  6. Step 6: Final answer
    x = 7,905.11

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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.