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Finding the Fourth Proportional to 9,170.23, 13,757.65 and 2,596.47

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Solution

The fourth proportional to 9,170.23, 13,757.65 and 2,596.47 is: 3,895.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,170.23 : 13,757.65 = 2,596.47 : x
  2. Step 2: Convert to fraction form
    9,170.23/13,757.65 = 2,596.47/x
  3. Step 3: Cross multiply
    9,170.23x = 13,757.65 × 2,596.47
  4. Step 4: Simplify right side
    9,170.23x = 35,721,325.50
  5. Step 5: Solve for x
    x = 35,721,325.50/9,170.23
  6. Step 6: Final answer
    x = 3,895.36

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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.