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Finding the Fourth Proportional to 9,443.91, 14,152.09 and 8,406

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Solution

The fourth proportional to 9,443.91, 14,152.09 and 8,406 is: 12,596.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,443.91 : 14,152.09 = 8,406 : x
  2. Step 2: Convert to fraction form
    9,443.91/14,152.09 = 8,406/x
  3. Step 3: Cross multiply
    9,443.91x = 14,152.09 × 8,406
  4. Step 4: Simplify right side
    9,443.91x = 118,962,468.54
  5. Step 5: Solve for x
    x = 118,962,468.54/9,443.91
  6. Step 6: Final answer
    x = 12,596.74

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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.