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Finding the Fourth Proportional to 9,150.44, 13,728.40 and 4,770.98

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Solution

The fourth proportional to 9,150.44, 13,728.40 and 4,770.98 is: 7,157.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,150.44 : 13,728.40 = 4,770.98 : x
  2. Step 2: Convert to fraction form
    9,150.44/13,728.40 = 4,770.98/x
  3. Step 3: Cross multiply
    9,150.44x = 13,728.40 × 4,770.98
  4. Step 4: Simplify right side
    9,150.44x = 65,497,841.26
  5. Step 5: Solve for x
    x = 65,497,841.26/9,150.44
  6. Step 6: Final answer
    x = 7,157.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.