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Finding the Fourth Proportional to 6,429.68, 8,873.04 and 3,777.14

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Solution

The fourth proportional to 6,429.68, 8,873.04 and 3,777.14 is: 5,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.68 : 8,873.04 = 3,777.14 : x
  2. Step 2: Convert to fraction form
    6,429.68/8,873.04 = 3,777.14/x
  3. Step 3: Cross multiply
    6,429.68x = 8,873.04 × 3,777.14
  4. Step 4: Simplify right side
    6,429.68x = 33,514,714.31
  5. Step 5: Solve for x
    x = 33,514,714.31/6,429.68
  6. Step 6: Final answer
    x = 5,212.50

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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.