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Finding the Fourth Proportional to 9,242.45, 13,863.54 and 6,273.53

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Solution

The fourth proportional to 9,242.45, 13,863.54 and 6,273.53 is: 9,410.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,242.45 : 13,863.54 = 6,273.53 : x
  2. Step 2: Convert to fraction form
    9,242.45/13,863.54 = 6,273.53/x
  3. Step 3: Cross multiply
    9,242.45x = 13,863.54 × 6,273.53
  4. Step 4: Simplify right side
    9,242.45x = 86,973,334.10
  5. Step 5: Solve for x
    x = 86,973,334.10/9,242.45
  6. Step 6: Final answer
    x = 9,410.20

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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.