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Finding the Fourth Proportional to 6,257.07, 9,380.14 and 5,338.53

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Solution

The fourth proportional to 6,257.07, 9,380.14 and 5,338.53 is: 8,003.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.07 : 9,380.14 = 5,338.53 : x
  2. Step 2: Convert to fraction form
    6,257.07/9,380.14 = 5,338.53/x
  3. Step 3: Cross multiply
    6,257.07x = 9,380.14 × 5,338.53
  4. Step 4: Simplify right side
    6,257.07x = 50,076,145.45
  5. Step 5: Solve for x
    x = 50,076,145.45/6,257.07
  6. Step 6: Final answer
    x = 8,003.13

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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.