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Finding the Fourth Proportional to 6,714.69, 9,268.77 and 5,766.68

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Solution

The fourth proportional to 6,714.69, 9,268.77 and 5,766.68 is: 7,960.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.69 : 9,268.77 = 5,766.68 : x
  2. Step 2: Convert to fraction form
    6,714.69/9,268.77 = 5,766.68/x
  3. Step 3: Cross multiply
    6,714.69x = 9,268.77 × 5,766.68
  4. Step 4: Simplify right side
    6,714.69x = 53,450,030.58
  5. Step 5: Solve for x
    x = 53,450,030.58/6,714.69
  6. Step 6: Final answer
    x = 7,960.16

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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.