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Finding the Fourth Proportional to 6,635.67, 9,157.31 and 3,803.16

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Solution

The fourth proportional to 6,635.67, 9,157.31 and 3,803.16 is: 5,248.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,635.67 : 9,157.31 = 3,803.16 : x
  2. Step 2: Convert to fraction form
    6,635.67/9,157.31 = 3,803.16/x
  3. Step 3: Cross multiply
    6,635.67x = 9,157.31 × 3,803.16
  4. Step 4: Simplify right side
    6,635.67x = 34,826,715.10
  5. Step 5: Solve for x
    x = 34,826,715.10/6,635.67
  6. Step 6: Final answer
    x = 5,248.41

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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.