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Finding the Fourth Proportional to 6,278.46, 9,412.80 and 3,156.84

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Solution

The fourth proportional to 6,278.46, 9,412.80 and 3,156.84 is: 4,732.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.46 : 9,412.80 = 3,156.84 : x
  2. Step 2: Convert to fraction form
    6,278.46/9,412.80 = 3,156.84/x
  3. Step 3: Cross multiply
    6,278.46x = 9,412.80 × 3,156.84
  4. Step 4: Simplify right side
    6,278.46x = 29,714,703.55
  5. Step 5: Solve for x
    x = 29,714,703.55/6,278.46
  6. Step 6: Final answer
    x = 4,732.80

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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.