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Finding the Fourth Proportional to 6,310.50, 9,467.59 and 1,868.28

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Solution

The fourth proportional to 6,310.50, 9,467.59 and 1,868.28 is: 2,802.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,310.50 : 9,467.59 = 1,868.28 : x
  2. Step 2: Convert to fraction form
    6,310.50/9,467.59 = 1,868.28/x
  3. Step 3: Cross multiply
    6,310.50x = 9,467.59 × 1,868.28
  4. Step 4: Simplify right side
    6,310.50x = 17,688,109.05
  5. Step 5: Solve for x
    x = 17,688,109.05/6,310.50
  6. Step 6: Final answer
    x = 2,802.96

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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.