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Finding the Fourth Proportional to 9,519.16, 14,282.84 and 3,679.88

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Solution

The fourth proportional to 9,519.16, 14,282.84 and 3,679.88 is: 5,521.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519.16 : 14,282.84 = 3,679.88 : x
  2. Step 2: Convert to fraction form
    9,519.16/14,282.84 = 3,679.88/x
  3. Step 3: Cross multiply
    9,519.16x = 14,282.84 × 3,679.88
  4. Step 4: Simplify right side
    9,519.16x = 52,559,137.26
  5. Step 5: Solve for x
    x = 52,559,137.26/9,519.16
  6. Step 6: Final answer
    x = 5,521.40

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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.