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Finding the Fourth Proportional to 6,746.07, 9,305.76 and 4,257.75

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Solution

The fourth proportional to 6,746.07, 9,305.76 and 4,257.75 is: 5,873.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,746.07 : 9,305.76 = 4,257.75 : x
  2. Step 2: Convert to fraction form
    6,746.07/9,305.76 = 4,257.75/x
  3. Step 3: Cross multiply
    6,746.07x = 9,305.76 × 4,257.75
  4. Step 4: Simplify right side
    6,746.07x = 39,621,599.64
  5. Step 5: Solve for x
    x = 39,621,599.64/6,746.07
  6. Step 6: Final answer
    x = 5,873.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.