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Finding the Fourth Proportional to 6,714.51, 9,265.55 and 3,879.66

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Solution

The fourth proportional to 6,714.51, 9,265.55 and 3,879.66 is: 5,353.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.51 : 9,265.55 = 3,879.66 : x
  2. Step 2: Convert to fraction form
    6,714.51/9,265.55 = 3,879.66/x
  3. Step 3: Cross multiply
    6,714.51x = 9,265.55 × 3,879.66
  4. Step 4: Simplify right side
    6,714.51x = 35,947,127.69
  5. Step 5: Solve for x
    x = 35,947,127.69/6,714.51
  6. Step 6: Final answer
    x = 5,353.65

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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.