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Finding the Fourth Proportional to 12,289.74, 18,426.06 and 6,274.15

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Solution

The fourth proportional to 12,289.74, 18,426.06 and 6,274.15 is: 9,406.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,289.74 : 18,426.06 = 6,274.15 : x
  2. Step 2: Convert to fraction form
    12,289.74/18,426.06 = 6,274.15/x
  3. Step 3: Cross multiply
    12,289.74x = 18,426.06 × 6,274.15
  4. Step 4: Simplify right side
    12,289.74x = 115,607,814.43
  5. Step 5: Solve for x
    x = 115,607,814.43/12,289.74
  6. Step 6: Final answer
    x = 9,406.85

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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.