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Finding the Fourth Proportional to 9,431.68, 14,078.36 and 8,324.68

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Solution

The fourth proportional to 9,431.68, 14,078.36 and 8,324.68 is: 12,425.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,431.68 : 14,078.36 = 8,324.68 : x
  2. Step 2: Convert to fraction form
    9,431.68/14,078.36 = 8,324.68/x
  3. Step 3: Cross multiply
    9,431.68x = 14,078.36 × 8,324.68
  4. Step 4: Simplify right side
    9,431.68x = 117,197,841.92
  5. Step 5: Solve for x
    x = 117,197,841.92/9,431.68
  6. Step 6: Final answer
    x = 12,425.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.