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Finding the Fourth Proportional to 9,157.67, 13,735.89 and 4,158.85

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Solution

The fourth proportional to 9,157.67, 13,735.89 and 4,158.85 is: 6,238.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.67 : 13,735.89 = 4,158.85 : x
  2. Step 2: Convert to fraction form
    9,157.67/13,735.89 = 4,158.85/x
  3. Step 3: Cross multiply
    9,157.67x = 13,735.89 × 4,158.85
  4. Step 4: Simplify right side
    9,157.67x = 57,125,485.33
  5. Step 5: Solve for x
    x = 57,125,485.33/9,157.67
  6. Step 6: Final answer
    x = 6,238.00

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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.