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Finding the Fourth Proportional to 9,171.01, 13,754.08 and 2,597.46

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Solution

The fourth proportional to 9,171.01, 13,754.08 and 2,597.46 is: 3,895.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.01 : 13,754.08 = 2,597.46 : x
  2. Step 2: Convert to fraction form
    9,171.01/13,754.08 = 2,597.46/x
  3. Step 3: Cross multiply
    9,171.01x = 13,754.08 × 2,597.46
  4. Step 4: Simplify right side
    9,171.01x = 35,725,672.64
  5. Step 5: Solve for x
    x = 35,725,672.64/9,171.01
  6. Step 6: Final answer
    x = 3,895.50

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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.