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Finding the Fourth Proportional to 6,114.89, 8,437.97 and 3,426.00

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Solution

The fourth proportional to 6,114.89, 8,437.97 and 3,426.00 is: 4,727.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.89 : 8,437.97 = 3,426.00 : x
  2. Step 2: Convert to fraction form
    6,114.89/8,437.97 = 3,426.00/x
  3. Step 3: Cross multiply
    6,114.89x = 8,437.97 × 3,426.00
  4. Step 4: Simplify right side
    6,114.89x = 28,908,462.14
  5. Step 5: Solve for x
    x = 28,908,462.14/6,114.89
  6. Step 6: Final answer
    x = 4,727.55

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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.