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Finding the Fourth Proportional to 6,863.94, 10,314.12 and 3,746.22

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Solution

The fourth proportional to 6,863.94, 10,314.12 and 3,746.22 is: 5,629.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.94 : 10,314.12 = 3,746.22 : x
  2. Step 2: Convert to fraction form
    6,863.94/10,314.12 = 3,746.22/x
  3. Step 3: Cross multiply
    6,863.94x = 10,314.12 × 3,746.22
  4. Step 4: Simplify right side
    6,863.94x = 38,638,962.63
  5. Step 5: Solve for x
    x = 38,638,962.63/6,863.94
  6. Step 6: Final answer
    x = 5,629.27

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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.