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Finding the Fourth Proportional to 6,341.49, 9,508.79 and 4,496.24

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Solution

The fourth proportional to 6,341.49, 9,508.79 and 4,496.24 is: 6,741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.49 : 9,508.79 = 4,496.24 : x
  2. Step 2: Convert to fraction form
    6,341.49/9,508.79 = 4,496.24/x
  3. Step 3: Cross multiply
    6,341.49x = 9,508.79 × 4,496.24
  4. Step 4: Simplify right side
    6,341.49x = 42,753,836.96
  5. Step 5: Solve for x
    x = 42,753,836.96/6,341.49
  6. Step 6: Final answer
    x = 6,741.92

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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.