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Finding the Fourth Proportional to 9,162.50, 13,742.76 and 6,219.80

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Solution

The fourth proportional to 9,162.50, 13,742.76 and 6,219.80 is: 9,329.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.50 : 13,742.76 = 6,219.80 : x
  2. Step 2: Convert to fraction form
    9,162.50/13,742.76 = 6,219.80/x
  3. Step 3: Cross multiply
    9,162.50x = 13,742.76 × 6,219.80
  4. Step 4: Simplify right side
    9,162.50x = 85,477,218.65
  5. Step 5: Solve for x
    x = 85,477,218.65/9,162.50
  6. Step 6: Final answer
    x = 9,329.03

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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.