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Finding the Fourth Proportional to 12,960.42, 19,437.72 and 6,296.76

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Solution

The fourth proportional to 12,960.42, 19,437.72 and 6,296.76 is: 9,443.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,960.42 : 19,437.72 = 6,296.76 : x
  2. Step 2: Convert to fraction form
    12,960.42/19,437.72 = 6,296.76/x
  3. Step 3: Cross multiply
    12,960.42x = 19,437.72 × 6,296.76
  4. Step 4: Simplify right side
    12,960.42x = 122,394,657.79
  5. Step 5: Solve for x
    x = 122,394,657.79/12,960.42
  6. Step 6: Final answer
    x = 9,443.73

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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.