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Finding the Fourth Proportional to 6,274.29, 9,404.15 and 2,804.25

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Solution

The fourth proportional to 6,274.29, 9,404.15 and 2,804.25 is: 4,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.29 : 9,404.15 = 2,804.25 : x
  2. Step 2: Convert to fraction form
    6,274.29/9,404.15 = 2,804.25/x
  3. Step 3: Cross multiply
    6,274.29x = 9,404.15 × 2,804.25
  4. Step 4: Simplify right side
    6,274.29x = 26,371,573.62
  5. Step 5: Solve for x
    x = 26,371,573.62/6,274.29
  6. Step 6: Final answer
    x = 4,203.12

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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.