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Finding the Fourth Proportional to 9,685.05, 13,362.07 and 6,150.30

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Solution

The fourth proportional to 9,685.05, 13,362.07 and 6,150.30 is: 8,485.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.05 : 13,362.07 = 6,150.30 : x
  2. Step 2: Convert to fraction form
    9,685.05/13,362.07 = 6,150.30/x
  3. Step 3: Cross multiply
    9,685.05x = 13,362.07 × 6,150.30
  4. Step 4: Simplify right side
    9,685.05x = 82,180,739.12
  5. Step 5: Solve for x
    x = 82,180,739.12/9,685.05
  6. Step 6: Final answer
    x = 8,485.32

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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.