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Finding the Fourth Proportional to 9,771.93, 14,660.64 and 3,932.64

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Solution

The fourth proportional to 9,771.93, 14,660.64 and 3,932.64 is: 5,900.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,771.93 : 14,660.64 = 3,932.64 : x
  2. Step 2: Convert to fraction form
    9,771.93/14,660.64 = 3,932.64/x
  3. Step 3: Cross multiply
    9,771.93x = 14,660.64 × 3,932.64
  4. Step 4: Simplify right side
    9,771.93x = 57,655,019.29
  5. Step 5: Solve for x
    x = 57,655,019.29/9,771.93
  6. Step 6: Final answer
    x = 5,900.06

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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.