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Finding the Fourth Proportional to 6,714.96, 9,272.25 and 5,601.74

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Solution

The fourth proportional to 6,714.96, 9,272.25 and 5,601.74 is: 7,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.96 : 9,272.25 = 5,601.74 : x
  2. Step 2: Convert to fraction form
    6,714.96/9,272.25 = 5,601.74/x
  3. Step 3: Cross multiply
    6,714.96x = 9,272.25 × 5,601.74
  4. Step 4: Simplify right side
    6,714.96x = 51,940,733.72
  5. Step 5: Solve for x
    x = 51,940,733.72/6,714.96
  6. Step 6: Final answer
    x = 7,735.08

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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.