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Finding the Fourth Proportional to 9,834.70, 14,750.70 and 3,260.20

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Solution

The fourth proportional to 9,834.70, 14,750.70 and 3,260.20 is: 4,889.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.70 : 14,750.70 = 3,260.20 : x
  2. Step 2: Convert to fraction form
    9,834.70/14,750.70 = 3,260.20/x
  3. Step 3: Cross multiply
    9,834.70x = 14,750.70 × 3,260.20
  4. Step 4: Simplify right side
    9,834.70x = 48,090,232.14
  5. Step 5: Solve for x
    x = 48,090,232.14/9,834.70
  6. Step 6: Final answer
    x = 4,889.85

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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.