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Finding the Fourth Proportional to 6,243.60, 9,362.16 and 3,120.24

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Solution

The fourth proportional to 6,243.60, 9,362.16 and 3,120.24 is: 4,678.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,243.60 : 9,362.16 = 3,120.24 : x
  2. Step 2: Convert to fraction form
    6,243.60/9,362.16 = 3,120.24/x
  3. Step 3: Cross multiply
    6,243.60x = 9,362.16 × 3,120.24
  4. Step 4: Simplify right side
    6,243.60x = 29,212,186.12
  5. Step 5: Solve for x
    x = 29,212,186.12/6,243.60
  6. Step 6: Final answer
    x = 4,678.74

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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.