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Finding the Fourth Proportional to 9,659.71, 13,330.72 and 5,410.95

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Solution

The fourth proportional to 9,659.71, 13,330.72 and 5,410.95 is: 7,467.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.71 : 13,330.72 = 5,410.95 : x
  2. Step 2: Convert to fraction form
    9,659.71/13,330.72 = 5,410.95/x
  3. Step 3: Cross multiply
    9,659.71x = 13,330.72 × 5,410.95
  4. Step 4: Simplify right side
    9,659.71x = 72,131,859.38
  5. Step 5: Solve for x
    x = 72,131,859.38/9,659.71
  6. Step 6: Final answer
    x = 7,467.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.