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Finding the Fourth Proportional to 9,756.70, 14,629.65 and 3,906.70

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Solution

The fourth proportional to 9,756.70, 14,629.65 and 3,906.70 is: 5,857.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,756.70 : 14,629.65 = 3,906.70 : x
  2. Step 2: Convert to fraction form
    9,756.70/14,629.65 = 3,906.70/x
  3. Step 3: Cross multiply
    9,756.70x = 14,629.65 × 3,906.70
  4. Step 4: Simplify right side
    9,756.70x = 57,153,653.66
  5. Step 5: Solve for x
    x = 57,153,653.66/9,756.70
  6. Step 6: Final answer
    x = 5,857.89

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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.