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Finding the Fourth Proportional to 9,758.64, 14,646.30 and 3,919.44

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Solution

The fourth proportional to 9,758.64, 14,646.30 and 3,919.44 is: 5,882.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,758.64 : 14,646.30 = 3,919.44 : x
  2. Step 2: Convert to fraction form
    9,758.64/14,646.30 = 3,919.44/x
  3. Step 3: Cross multiply
    9,758.64x = 14,646.30 × 3,919.44
  4. Step 4: Simplify right side
    9,758.64x = 57,405,294.07
  5. Step 5: Solve for x
    x = 57,405,294.07/9,758.64
  6. Step 6: Final answer
    x = 5,882.51

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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.