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Finding the Fourth Proportional to 9,012.85, 13,586.89 and 8,410.75

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Solution

The fourth proportional to 9,012.85, 13,586.89 and 8,410.75 is: 12,679.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,012.85 : 13,586.89 = 8,410.75 : x
  2. Step 2: Convert to fraction form
    9,012.85/13,586.89 = 8,410.75/x
  3. Step 3: Cross multiply
    9,012.85x = 13,586.89 × 8,410.75
  4. Step 4: Simplify right side
    9,012.85x = 114,275,935.07
  5. Step 5: Solve for x
    x = 114,275,935.07/9,012.85
  6. Step 6: Final answer
    x = 12,679.22

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.