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Finding the Fourth Proportional to 6,357.28, 8,774.96 and 4,119.12

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Solution

The fourth proportional to 6,357.28, 8,774.96 and 4,119.12 is: 5,685.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,357.28 : 8,774.96 = 4,119.12 : x
  2. Step 2: Convert to fraction form
    6,357.28/8,774.96 = 4,119.12/x
  3. Step 3: Cross multiply
    6,357.28x = 8,774.96 × 4,119.12
  4. Step 4: Simplify right side
    6,357.28x = 36,145,113.24
  5. Step 5: Solve for x
    x = 36,145,113.24/6,357.28
  6. Step 6: Final answer
    x = 5,685.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.