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Finding the Fourth Proportional to 9,745.92, 14,590.08 and 9,198.72

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Solution

The fourth proportional to 9,745.92, 14,590.08 and 9,198.72 is: 13,770.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.92 : 14,590.08 = 9,198.72 : x
  2. Step 2: Convert to fraction form
    9,745.92/14,590.08 = 9,198.72/x
  3. Step 3: Cross multiply
    9,745.92x = 14,590.08 × 9,198.72
  4. Step 4: Simplify right side
    9,745.92x = 134,210,060.70
  5. Step 5: Solve for x
    x = 134,210,060.70/9,745.92
  6. Step 6: Final answer
    x = 13,770.90

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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.