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Finding the Fourth Proportional to 6,382.69, 9,574.08 and 2,225.67

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Solution

The fourth proportional to 6,382.69, 9,574.08 and 2,225.67 is: 3,338.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.69 : 9,574.08 = 2,225.67 : x
  2. Step 2: Convert to fraction form
    6,382.69/9,574.08 = 2,225.67/x
  3. Step 3: Cross multiply
    6,382.69x = 9,574.08 × 2,225.67
  4. Step 4: Simplify right side
    6,382.69x = 21,308,742.63
  5. Step 5: Solve for x
    x = 21,308,742.63/6,382.69
  6. Step 6: Final answer
    x = 3,338.52

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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.