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Finding the Fourth Proportional to 12,634.14, 18,925.84 and 6,289.90

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Solution

The fourth proportional to 12,634.14, 18,925.84 and 6,289.90 is: 9,422.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,634.14 : 18,925.84 = 6,289.90 : x
  2. Step 2: Convert to fraction form
    12,634.14/18,925.84 = 6,289.90/x
  3. Step 3: Cross multiply
    12,634.14x = 18,925.84 × 6,289.90
  4. Step 4: Simplify right side
    12,634.14x = 119,041,679.27
  5. Step 5: Solve for x
    x = 119,041,679.27/12,634.14
  6. Step 6: Final answer
    x = 9,422.22

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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.