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Finding the Fourth Proportional to 6,164.80, 9,236.40 and 5,063.20

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Solution

The fourth proportional to 6,164.80, 9,236.40 and 5,063.20 is: 7,585.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.80 : 9,236.40 = 5,063.20 : x
  2. Step 2: Convert to fraction form
    6,164.80/9,236.40 = 5,063.20/x
  3. Step 3: Cross multiply
    6,164.80x = 9,236.40 × 5,063.20
  4. Step 4: Simplify right side
    6,164.80x = 46,765,740.48
  5. Step 5: Solve for x
    x = 46,765,740.48/6,164.80
  6. Step 6: Final answer
    x = 7,585.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.