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Finding the Fourth Proportional to 9,758.25, 14,639.22 and 3,915.32

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Solution

The fourth proportional to 9,758.25, 14,639.22 and 3,915.32 is: 5,873.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.25 : 14,639.22 = 3,915.32 : x
  2. Step 2: Convert to fraction form
    9,758.25/14,639.22 = 3,915.32/x
  3. Step 3: Cross multiply
    9,758.25x = 14,639.22 × 3,915.32
  4. Step 4: Simplify right side
    9,758.25x = 57,317,157.65
  5. Step 5: Solve for x
    x = 57,317,157.65/9,758.25
  6. Step 6: Final answer
    x = 5,873.71

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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.