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Finding the Fourth Proportional to 6,458.32, 9,690.68 and 2,994.96

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Solution

The fourth proportional to 6,458.32, 9,690.68 and 2,994.96 is: 4,493.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.32 : 9,690.68 = 2,994.96 : x
  2. Step 2: Convert to fraction form
    6,458.32/9,690.68 = 2,994.96/x
  3. Step 3: Cross multiply
    6,458.32x = 9,690.68 × 2,994.96
  4. Step 4: Simplify right side
    6,458.32x = 29,023,198.97
  5. Step 5: Solve for x
    x = 29,023,198.97/6,458.32
  6. Step 6: Final answer
    x = 4,493.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.