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Finding the Fourth Proportional to 9,783.69, 13,491.56 and 8,372.06

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Solution

The fourth proportional to 9,783.69, 13,491.56 and 8,372.06 is: 11,544.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,783.69 : 13,491.56 = 8,372.06 : x
  2. Step 2: Convert to fraction form
    9,783.69/13,491.56 = 8,372.06/x
  3. Step 3: Cross multiply
    9,783.69x = 13,491.56 × 8,372.06
  4. Step 4: Simplify right side
    9,783.69x = 112,952,153.88
  5. Step 5: Solve for x
    x = 112,952,153.88/9,783.69
  6. Step 6: Final answer
    x = 11,544.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.