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Finding the Fourth Proportional to 6,323.05, 9,482.14 and 2,427.76

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Solution

The fourth proportional to 6,323.05, 9,482.14 and 2,427.76 is: 3,640.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,323.05 : 9,482.14 = 2,427.76 : x
  2. Step 2: Convert to fraction form
    6,323.05/9,482.14 = 2,427.76/x
  3. Step 3: Cross multiply
    6,323.05x = 9,482.14 × 2,427.76
  4. Step 4: Simplify right side
    6,323.05x = 23,020,360.21
  5. Step 5: Solve for x
    x = 23,020,360.21/6,323.05
  6. Step 6: Final answer
    x = 3,640.71

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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.