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Finding the Fourth Proportional to 6,402.94, 8,836.76 and 3,714.75

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Solution

The fourth proportional to 6,402.94, 8,836.76 and 3,714.75 is: 5,126.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.94 : 8,836.76 = 3,714.75 : x
  2. Step 2: Convert to fraction form
    6,402.94/8,836.76 = 3,714.75/x
  3. Step 3: Cross multiply
    6,402.94x = 8,836.76 × 3,714.75
  4. Step 4: Simplify right side
    6,402.94x = 32,826,354.21
  5. Step 5: Solve for x
    x = 32,826,354.21/6,402.94
  6. Step 6: Final answer
    x = 5,126.76

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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.