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Finding the Fourth Proportional to 6,242.56, 9,362.56 and 3,643.52

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Solution

The fourth proportional to 6,242.56, 9,362.56 and 3,643.52 is: 5,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.56 : 9,362.56 = 3,643.52 : x
  2. Step 2: Convert to fraction form
    6,242.56/9,362.56 = 3,643.52/x
  3. Step 3: Cross multiply
    6,242.56x = 9,362.56 × 3,643.52
  4. Step 4: Simplify right side
    6,242.56x = 34,112,674.61
  5. Step 5: Solve for x
    x = 34,112,674.61/6,242.56
  6. Step 6: Final answer
    x = 5,464.53

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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.