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Finding the Fourth Proportional to 9,197.42, 13,778.78 and 5,437.98

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Solution

The fourth proportional to 9,197.42, 13,778.78 and 5,437.98 is: 8,146.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.42 : 13,778.78 = 5,437.98 : x
  2. Step 2: Convert to fraction form
    9,197.42/13,778.78 = 5,437.98/x
  3. Step 3: Cross multiply
    9,197.42x = 13,778.78 × 5,437.98
  4. Step 4: Simplify right side
    9,197.42x = 74,928,702.87
  5. Step 5: Solve for x
    x = 74,928,702.87/9,197.42
  6. Step 6: Final answer
    x = 8,146.71

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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.