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Finding the Fourth Proportional to 6,482.75, 9,725.57 and 2,378.75

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Solution

The fourth proportional to 6,482.75, 9,725.57 and 2,378.75 is: 3,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,482.75 : 9,725.57 = 2,378.75 : x
  2. Step 2: Convert to fraction form
    6,482.75/9,725.57 = 2,378.75/x
  3. Step 3: Cross multiply
    6,482.75x = 9,725.57 × 2,378.75
  4. Step 4: Simplify right side
    6,482.75x = 23,134,687.74
  5. Step 5: Solve for x
    x = 23,134,687.74/6,482.75
  6. Step 6: Final answer
    x = 3,568.65

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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.