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Finding the Fourth Proportional to 6,257.37, 9,381.63 and 3,135.15

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Solution

The fourth proportional to 6,257.37, 9,381.63 and 3,135.15 is: 4,700.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.37 : 9,381.63 = 3,135.15 : x
  2. Step 2: Convert to fraction form
    6,257.37/9,381.63 = 3,135.15/x
  3. Step 3: Cross multiply
    6,257.37x = 9,381.63 × 3,135.15
  4. Step 4: Simplify right side
    6,257.37x = 29,412,817.29
  5. Step 5: Solve for x
    x = 29,412,817.29/6,257.37
  6. Step 6: Final answer
    x = 4,700.51

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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.