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Finding the Fourth Proportional to 9,163.56, 13,746.48 and 2,590.26

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Solution

The fourth proportional to 9,163.56, 13,746.48 and 2,590.26 is: 3,885.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,163.56 : 13,746.48 = 2,590.26 : x
  2. Step 2: Convert to fraction form
    9,163.56/13,746.48 = 2,590.26/x
  3. Step 3: Cross multiply
    9,163.56x = 13,746.48 × 2,590.26
  4. Step 4: Simplify right side
    9,163.56x = 35,606,957.28
  5. Step 5: Solve for x
    x = 35,606,957.28/9,163.56
  6. Step 6: Final answer
    x = 3,885.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.