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Finding the Fourth Proportional to 6,356.82, 9,529.59 and 2,405.32

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Solution

The fourth proportional to 6,356.82, 9,529.59 and 2,405.32 is: 3,605.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.82 : 9,529.59 = 2,405.32 : x
  2. Step 2: Convert to fraction form
    6,356.82/9,529.59 = 2,405.32/x
  3. Step 3: Cross multiply
    6,356.82x = 9,529.59 × 2,405.32
  4. Step 4: Simplify right side
    6,356.82x = 22,921,713.42
  5. Step 5: Solve for x
    x = 22,921,713.42/6,356.82
  6. Step 6: Final answer
    x = 3,605.85

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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.