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Finding the Fourth Proportional to 9,713.52, 14,568.54 and 2,597.79

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Solution

The fourth proportional to 9,713.52, 14,568.54 and 2,597.79 is: 3,896.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,713.52 : 14,568.54 = 2,597.79 : x
  2. Step 2: Convert to fraction form
    9,713.52/14,568.54 = 2,597.79/x
  3. Step 3: Cross multiply
    9,713.52x = 14,568.54 × 2,597.79
  4. Step 4: Simplify right side
    9,713.52x = 37,846,007.53
  5. Step 5: Solve for x
    x = 37,846,007.53/9,713.52
  6. Step 6: Final answer
    x = 3,896.22

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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.