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Finding the Fourth Proportional to 6,402.24, 9,606.24 and 3,118.32

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Solution

The fourth proportional to 6,402.24, 9,606.24 and 3,118.32 is: 4,678.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,402.24 : 9,606.24 = 3,118.32 : x
  2. Step 2: Convert to fraction form
    6,402.24/9,606.24 = 3,118.32/x
  3. Step 3: Cross multiply
    6,402.24x = 9,606.24 × 3,118.32
  4. Step 4: Simplify right side
    6,402.24x = 29,955,330.32
  5. Step 5: Solve for x
    x = 29,955,330.32/6,402.24
  6. Step 6: Final answer
    x = 4,678.88

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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.