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Finding the Fourth Proportional to 6,362.40, 9,529.20 and 4,029.60

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Solution

The fourth proportional to 6,362.40, 9,529.20 and 4,029.60 is: 6,035.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,362.40 : 9,529.20 = 4,029.60 : x
  2. Step 2: Convert to fraction form
    6,362.40/9,529.20 = 4,029.60/x
  3. Step 3: Cross multiply
    6,362.40x = 9,529.20 × 4,029.60
  4. Step 4: Simplify right side
    6,362.40x = 38,398,864.32
  5. Step 5: Solve for x
    x = 38,398,864.32/6,362.40
  6. Step 6: Final answer
    x = 6,035.28

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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.