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Finding the Fourth Proportional to 9,674.16, 14,513.70 and 3,100.20

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Solution

The fourth proportional to 9,674.16, 14,513.70 and 3,100.20 is: 4,651.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.16 : 14,513.70 = 3,100.20 : x
  2. Step 2: Convert to fraction form
    9,674.16/14,513.70 = 3,100.20/x
  3. Step 3: Cross multiply
    9,674.16x = 14,513.70 × 3,100.20
  4. Step 4: Simplify right side
    9,674.16x = 44,995,372.74
  5. Step 5: Solve for x
    x = 44,995,372.74/9,674.16
  6. Step 6: Final answer
    x = 4,651.09

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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.