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Finding the Fourth Proportional to 9,823.62, 14,750.22 and 8,451.90

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Solution

The fourth proportional to 9,823.62, 14,750.22 and 8,451.90 is: 12,690.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,823.62 : 14,750.22 = 8,451.90 : x
  2. Step 2: Convert to fraction form
    9,823.62/14,750.22 = 8,451.90/x
  3. Step 3: Cross multiply
    9,823.62x = 14,750.22 × 8,451.90
  4. Step 4: Simplify right side
    9,823.62x = 124,667,384.42
  5. Step 5: Solve for x
    x = 124,667,384.42/9,823.62
  6. Step 6: Final answer
    x = 12,690.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.