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Finding the Fourth Proportional to 12,777.39, 19,152.42 and 6,189.12

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Solution

The fourth proportional to 12,777.39, 19,152.42 and 6,189.12 is: 9,277.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,777.39 : 19,152.42 = 6,189.12 : x
  2. Step 2: Convert to fraction form
    12,777.39/19,152.42 = 6,189.12/x
  3. Step 3: Cross multiply
    12,777.39x = 19,152.42 × 6,189.12
  4. Step 4: Simplify right side
    12,777.39x = 118,536,625.67
  5. Step 5: Solve for x
    x = 118,536,625.67/12,777.39
  6. Step 6: Final answer
    x = 9,277.06

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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.