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Finding the Fourth Proportional to 12,437.76, 18,644.90 and 6,191.86

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Solution

The fourth proportional to 12,437.76, 18,644.90 and 6,191.86 is: 9,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,437.76 : 18,644.90 = 6,191.86 : x
  2. Step 2: Convert to fraction form
    12,437.76/18,644.90 = 6,191.86/x
  3. Step 3: Cross multiply
    12,437.76x = 18,644.90 × 6,191.86
  4. Step 4: Simplify right side
    12,437.76x = 115,446,610.51
  5. Step 5: Solve for x
    x = 115,446,610.51/12,437.76
  6. Step 6: Final answer
    x = 9,281.95

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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.