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Finding the Fourth Proportional to 6,274.30, 9,404.14 and 2,804.26

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Solution

The fourth proportional to 6,274.30, 9,404.14 and 2,804.26 is: 4,203.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.30 : 9,404.14 = 2,804.26 : x
  2. Step 2: Convert to fraction form
    6,274.30/9,404.14 = 2,804.26/x
  3. Step 3: Cross multiply
    6,274.30x = 9,404.14 × 2,804.26
  4. Step 4: Simplify right side
    6,274.30x = 26,371,653.64
  5. Step 5: Solve for x
    x = 26,371,653.64/6,274.30
  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.