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Finding the Fourth Proportional to 9,324.82, 13,958.28 and 6,970.96

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Solution

The fourth proportional to 9,324.82, 13,958.28 and 6,970.96 is: 10,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.82 : 13,958.28 = 6,970.96 : x
  2. Step 2: Convert to fraction form
    9,324.82/13,958.28 = 6,970.96/x
  3. Step 3: Cross multiply
    9,324.82x = 13,958.28 × 6,970.96
  4. Step 4: Simplify right side
    9,324.82x = 97,302,611.55
  5. Step 5: Solve for x
    x = 97,302,611.55/9,324.82
  6. Step 6: Final answer
    x = 10,434.80

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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.