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Finding the Fourth Proportional to 6,388.20, 9,574.65 and 3,756.96

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Solution

The fourth proportional to 6,388.20, 9,574.65 and 3,756.96 is: 5,630.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.20 : 9,574.65 = 3,756.96 : x
  2. Step 2: Convert to fraction form
    6,388.20/9,574.65 = 3,756.96/x
  3. Step 3: Cross multiply
    6,388.20x = 9,574.65 × 3,756.96
  4. Step 4: Simplify right side
    6,388.20x = 35,971,577.06
  5. Step 5: Solve for x
    x = 35,971,577.06/6,388.20
  6. Step 6: Final answer
    x = 5,630.94

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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.