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Finding the Fourth Proportional to 9,712.25, 13,405.11 and 6,876.67

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Solution

The fourth proportional to 9,712.25, 13,405.11 and 6,876.67 is: 9,491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,712.25 : 13,405.11 = 6,876.67 : x
  2. Step 2: Convert to fraction form
    9,712.25/13,405.11 = 6,876.67/x
  3. Step 3: Cross multiply
    9,712.25x = 13,405.11 × 6,876.67
  4. Step 4: Simplify right side
    9,712.25x = 92,182,517.78
  5. Step 5: Solve for x
    x = 92,182,517.78/9,712.25
  6. Step 6: Final answer
    x = 9,491.37

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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.