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Finding the Fourth Proportional to 6,359.30, 9,536.24 and 3,436.82

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Solution

The fourth proportional to 6,359.30, 9,536.24 and 3,436.82 is: 5,153.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,359.30 : 9,536.24 = 3,436.82 : x
  2. Step 2: Convert to fraction form
    6,359.30/9,536.24 = 3,436.82/x
  3. Step 3: Cross multiply
    6,359.30x = 9,536.24 × 3,436.82
  4. Step 4: Simplify right side
    6,359.30x = 32,774,340.36
  5. Step 5: Solve for x
    x = 32,774,340.36/6,359.30
  6. Step 6: Final answer
    x = 5,153.77

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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.