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Finding the Fourth Proportional to 9,455.88, 14,180.94 and 5,349

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Solution

The fourth proportional to 9,455.88, 14,180.94 and 5,349 is: 8,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455.88 : 14,180.94 = 5,349 : x
  2. Step 2: Convert to fraction form
    9,455.88/14,180.94 = 5,349/x
  3. Step 3: Cross multiply
    9,455.88x = 14,180.94 × 5,349
  4. Step 4: Simplify right side
    9,455.88x = 75,853,848.06
  5. Step 5: Solve for x
    x = 75,853,848.06/9,455.88
  6. Step 6: Final answer
    x = 8,021.87

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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.