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Finding the Fourth Proportional to 9,515.84, 14,270.22 and 3,274.10

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Solution

The fourth proportional to 9,515.84, 14,270.22 and 3,274.10 is: 4,909.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,515.84 : 14,270.22 = 3,274.10 : x
  2. Step 2: Convert to fraction form
    9,515.84/14,270.22 = 3,274.10/x
  3. Step 3: Cross multiply
    9,515.84x = 14,270.22 × 3,274.10
  4. Step 4: Simplify right side
    9,515.84x = 46,722,127.30
  5. Step 5: Solve for x
    x = 46,722,127.30/9,515.84
  6. Step 6: Final answer
    x = 4,909.93

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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.