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Finding the Fourth Proportional to 6,114.94, 8,438.63 and 3,320.44

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Solution

The fourth proportional to 6,114.94, 8,438.63 and 3,320.44 is: 4,582.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.94 : 8,438.63 = 3,320.44 : x
  2. Step 2: Convert to fraction form
    6,114.94/8,438.63 = 3,320.44/x
  3. Step 3: Cross multiply
    6,114.94x = 8,438.63 × 3,320.44
  4. Step 4: Simplify right side
    6,114.94x = 28,019,926.90
  5. Step 5: Solve for x
    x = 28,019,926.90/6,114.94
  6. Step 6: Final answer
    x = 4,582.21

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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.