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Finding the Fourth Proportional to 9,409.40, 14,108.70 and 2,834.60

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Solution

The fourth proportional to 9,409.40, 14,108.70 and 2,834.60 is: 4,250.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.40 : 14,108.70 = 2,834.60 : x
  2. Step 2: Convert to fraction form
    9,409.40/14,108.70 = 2,834.60/x
  3. Step 3: Cross multiply
    9,409.40x = 14,108.70 × 2,834.60
  4. Step 4: Simplify right side
    9,409.40x = 39,992,521.02
  5. Step 5: Solve for x
    x = 39,992,521.02/9,409.40
  6. Step 6: Final answer
    x = 4,250.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.