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Finding the Fourth Proportional to 10,847.70, 14,969.97 and 6,132

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Solution

The fourth proportional to 10,847.70, 14,969.97 and 6,132 is: 8,462.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,847.70 : 14,969.97 = 6,132 : x
  2. Step 2: Convert to fraction form
    10,847.70/14,969.97 = 6,132/x
  3. Step 3: Cross multiply
    10,847.70x = 14,969.97 × 6,132
  4. Step 4: Simplify right side
    10,847.70x = 91,795,856.04
  5. Step 5: Solve for x
    x = 91,795,856.04/10,847.70
  6. Step 6: Final answer
    x = 8,462.24

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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.