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Finding the Fourth Proportional to 10,441.95, 15,642.05 and 6,279.67

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Solution

The fourth proportional to 10,441.95, 15,642.05 and 6,279.67 is: 9,406.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,441.95 : 15,642.05 = 6,279.67 : x
  2. Step 2: Convert to fraction form
    10,441.95/15,642.05 = 6,279.67/x
  3. Step 3: Cross multiply
    10,441.95x = 15,642.05 × 6,279.67
  4. Step 4: Simplify right side
    10,441.95x = 98,226,912.12
  5. Step 5: Solve for x
    x = 98,226,912.12/10,441.95
  6. Step 6: Final answer
    x = 9,406.95

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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.