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Finding the Fourth Proportional to 6,714.77, 9,266.33 and 3,730.59

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Solution

The fourth proportional to 6,714.77, 9,266.33 and 3,730.59 is: 5,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.77 : 9,266.33 = 3,730.59 : x
  2. Step 2: Convert to fraction form
    6,714.77/9,266.33 = 3,730.59/x
  3. Step 3: Cross multiply
    6,714.77x = 9,266.33 × 3,730.59
  4. Step 4: Simplify right side
    6,714.77x = 34,568,887.36
  5. Step 5: Solve for x
    x = 34,568,887.36/6,714.77
  6. Step 6: Final answer
    x = 5,148.19

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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.