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Finding the Fourth Proportional to 6,378.32, 9,577.20 and 5,289.68

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Solution

The fourth proportional to 6,378.32, 9,577.20 and 5,289.68 is: 7,942.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,378.32 : 9,577.20 = 5,289.68 : x
  2. Step 2: Convert to fraction form
    6,378.32/9,577.20 = 5,289.68/x
  3. Step 3: Cross multiply
    6,378.32x = 9,577.20 × 5,289.68
  4. Step 4: Simplify right side
    6,378.32x = 50,660,323.30
  5. Step 5: Solve for x
    x = 50,660,323.30/6,378.32
  6. Step 6: Final answer
    x = 7,942.58

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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.