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Finding the Fourth Proportional to 6,353.46, 9,530.49 and 3,069.32

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Solution

The fourth proportional to 6,353.46, 9,530.49 and 3,069.32 is: 4,604.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,353.46 : 9,530.49 = 3,069.32 : x
  2. Step 2: Convert to fraction form
    6,353.46/9,530.49 = 3,069.32/x
  3. Step 3: Cross multiply
    6,353.46x = 9,530.49 × 3,069.32
  4. Step 4: Simplify right side
    6,353.46x = 29,252,075.91
  5. Step 5: Solve for x
    x = 29,252,075.91/6,353.46
  6. Step 6: Final answer
    x = 4,604.12

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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.