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Finding the Fourth Proportional to 6,114.53, 8,438.21 and 3,461.42

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Solution

The fourth proportional to 6,114.53, 8,438.21 and 3,461.42 is: 4,776.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.53 : 8,438.21 = 3,461.42 : x
  2. Step 2: Convert to fraction form
    6,114.53/8,438.21 = 3,461.42/x
  3. Step 3: Cross multiply
    6,114.53x = 8,438.21 × 3,461.42
  4. Step 4: Simplify right side
    6,114.53x = 29,208,129.36
  5. Step 5: Solve for x
    x = 29,208,129.36/6,114.53
  6. Step 6: Final answer
    x = 4,776.84

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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.