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Finding the Fourth Proportional to 13,096.86, 19,631.01 and 6,437.94

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Solution

The fourth proportional to 13,096.86, 19,631.01 and 6,437.94 is: 9,649.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,096.86 : 19,631.01 = 6,437.94 : x
  2. Step 2: Convert to fraction form
    13,096.86/19,631.01 = 6,437.94/x
  3. Step 3: Cross multiply
    13,096.86x = 19,631.01 × 6,437.94
  4. Step 4: Simplify right side
    13,096.86x = 126,383,264.52
  5. Step 5: Solve for x
    x = 126,383,264.52/13,096.86
  6. Step 6: Final answer
    x = 9,649.89

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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.