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Finding the Fourth Proportional to 9,477.38, 13,076.16 and 6,120.34

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Solution

The fourth proportional to 9,477.38, 13,076.16 and 6,120.34 is: 8,444.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.38 : 13,076.16 = 6,120.34 : x
  2. Step 2: Convert to fraction form
    9,477.38/13,076.16 = 6,120.34/x
  3. Step 3: Cross multiply
    9,477.38x = 13,076.16 × 6,120.34
  4. Step 4: Simplify right side
    9,477.38x = 80,030,545.09
  5. Step 5: Solve for x
    x = 80,030,545.09/9,477.38
  6. Step 6: Final answer
    x = 8,444.37

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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.