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Finding the Fourth Proportional to 6,114.88, 8,437.84 and 3,426.20

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Solution

The fourth proportional to 6,114.88, 8,437.84 and 3,426.20 is: 4,727.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.88 : 8,437.84 = 3,426.20 : x
  2. Step 2: Convert to fraction form
    6,114.88/8,437.84 = 3,426.20/x
  3. Step 3: Cross multiply
    6,114.88x = 8,437.84 × 3,426.20
  4. Step 4: Simplify right side
    6,114.88x = 28,909,727.41
  5. Step 5: Solve for x
    x = 28,909,727.41/6,114.88
  6. Step 6: Final answer
    x = 4,727.77

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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.