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Finding the Fourth Proportional to 9,834.75, 14,750.64 and 3,260.12

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Solution

The fourth proportional to 9,834.75, 14,750.64 and 3,260.12 is: 4,889.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.75 : 14,750.64 = 3,260.12 : x
  2. Step 2: Convert to fraction form
    9,834.75/14,750.64 = 3,260.12/x
  3. Step 3: Cross multiply
    9,834.75x = 14,750.64 × 3,260.12
  4. Step 4: Simplify right side
    9,834.75x = 48,088,782.72
  5. Step 5: Solve for x
    x = 48,088,782.72/9,834.75
  6. Step 6: Final answer
    x = 4,889.68

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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.