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Finding the Fourth Proportional to 6,306.80, 9,462.23 and 1,924.70

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Solution

The fourth proportional to 6,306.80, 9,462.23 and 1,924.70 is: 2,887.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.80 : 9,462.23 = 1,924.70 : x
  2. Step 2: Convert to fraction form
    6,306.80/9,462.23 = 1,924.70/x
  3. Step 3: Cross multiply
    6,306.80x = 9,462.23 × 1,924.70
  4. Step 4: Simplify right side
    6,306.80x = 18,211,944.46
  5. Step 5: Solve for x
    x = 18,211,944.46/6,306.80
  6. Step 6: Final answer
    x = 2,887.67

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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.