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Finding the Fourth Proportional to 9,494.58, 14,243.01 and 3,951.66

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Solution

The fourth proportional to 9,494.58, 14,243.01 and 3,951.66 is: 5,927.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,494.58 : 14,243.01 = 3,951.66 : x
  2. Step 2: Convert to fraction form
    9,494.58/14,243.01 = 3,951.66/x
  3. Step 3: Cross multiply
    9,494.58x = 14,243.01 × 3,951.66
  4. Step 4: Simplify right side
    9,494.58x = 56,283,532.90
  5. Step 5: Solve for x
    x = 56,283,532.90/9,494.58
  6. Step 6: Final answer
    x = 5,927.96

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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.