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Finding the Fourth Proportional to 6,364.35, 9,549.56 and 3,075.61

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Solution

The fourth proportional to 6,364.35, 9,549.56 and 3,075.61 is: 4,614.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.35 : 9,549.56 = 3,075.61 : x
  2. Step 2: Convert to fraction form
    6,364.35/9,549.56 = 3,075.61/x
  3. Step 3: Cross multiply
    6,364.35x = 9,549.56 × 3,075.61
  4. Step 4: Simplify right side
    6,364.35x = 29,370,706.85
  5. Step 5: Solve for x
    x = 29,370,706.85/6,364.35
  6. Step 6: Final answer
    x = 4,614.88

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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.