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Finding the Fourth Proportional to 9,100.29, 13,643.44 and 8,173.01

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Solution

The fourth proportional to 9,100.29, 13,643.44 and 8,173.01 is: 12,253.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,100.29 : 13,643.44 = 8,173.01 : x
  2. Step 2: Convert to fraction form
    9,100.29/13,643.44 = 8,173.01/x
  3. Step 3: Cross multiply
    9,100.29x = 13,643.44 × 8,173.01
  4. Step 4: Simplify right side
    9,100.29x = 111,507,971.55
  5. Step 5: Solve for x
    x = 111,507,971.55/9,100.29
  6. Step 6: Final answer
    x = 12,253.23

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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.