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Finding the Fourth Proportional to 6,374.85, 9,554.13 and 5,142.84

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Solution

The fourth proportional to 6,374.85, 9,554.13 and 5,142.84 is: 7,707.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,374.85 : 9,554.13 = 5,142.84 : x
  2. Step 2: Convert to fraction form
    6,374.85/9,554.13 = 5,142.84/x
  3. Step 3: Cross multiply
    6,374.85x = 9,554.13 × 5,142.84
  4. Step 4: Simplify right side
    6,374.85x = 49,135,361.93
  5. Step 5: Solve for x
    x = 49,135,361.93/6,374.85
  6. Step 6: Final answer
    x = 7,707.69

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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.