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Finding the Fourth Proportional to 9,157.49, 13,735.28 and 6,214.83

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Solution

The fourth proportional to 9,157.49, 13,735.28 and 6,214.83 is: 9,321.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.49 : 13,735.28 = 6,214.83 : x
  2. Step 2: Convert to fraction form
    9,157.49/13,735.28 = 6,214.83/x
  3. Step 3: Cross multiply
    9,157.49x = 13,735.28 × 6,214.83
  4. Step 4: Simplify right side
    9,157.49x = 85,362,399.13
  5. Step 5: Solve for x
    x = 85,362,399.13/9,157.49
  6. Step 6: Final answer
    x = 9,321.60

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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.