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Finding the Fourth Proportional to 9,666.38, 14,497.33 and 5,451.50

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Solution

The fourth proportional to 9,666.38, 14,497.33 and 5,451.50 is: 8,175.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,666.38 : 14,497.33 = 5,451.50 : x
  2. Step 2: Convert to fraction form
    9,666.38/14,497.33 = 5,451.50/x
  3. Step 3: Cross multiply
    9,666.38x = 14,497.33 × 5,451.50
  4. Step 4: Simplify right side
    9,666.38x = 79,032,194.50
  5. Step 5: Solve for x
    x = 79,032,194.50/9,666.38
  6. Step 6: Final answer
    x = 8,175.99

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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.