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Finding the Fourth Proportional to 10,477.38, 14,481.90 and 9,208.92

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Solution

The fourth proportional to 10,477.38, 14,481.90 and 9,208.92 is: 12,728.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,477.38 : 14,481.90 = 9,208.92 : x
  2. Step 2: Convert to fraction form
    10,477.38/14,481.90 = 9,208.92/x
  3. Step 3: Cross multiply
    10,477.38x = 14,481.90 × 9,208.92
  4. Step 4: Simplify right side
    10,477.38x = 133,362,658.55
  5. Step 5: Solve for x
    x = 133,362,658.55/10,477.38
  6. Step 6: Final answer
    x = 12,728.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.