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Finding the Fourth Proportional to 9,514.53, 14,274.36 and 3,966.03

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Solution

The fourth proportional to 9,514.53, 14,274.36 and 3,966.03 is: 5,950.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,514.53 : 14,274.36 = 3,966.03 : x
  2. Step 2: Convert to fraction form
    9,514.53/14,274.36 = 3,966.03/x
  3. Step 3: Cross multiply
    9,514.53x = 14,274.36 × 3,966.03
  4. Step 4: Simplify right side
    9,514.53x = 56,612,539.99
  5. Step 5: Solve for x
    x = 56,612,539.99/9,514.53
  6. Step 6: Final answer
    x = 5,950.11

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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.