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Finding the Fourth Proportional to 9,172.64, 13,758.73 and 2,598.75

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Solution

The fourth proportional to 9,172.64, 13,758.73 and 2,598.75 is: 3,898.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,172.64 : 13,758.73 = 2,598.75 : x
  2. Step 2: Convert to fraction form
    9,172.64/13,758.73 = 2,598.75/x
  3. Step 3: Cross multiply
    9,172.64x = 13,758.73 × 2,598.75
  4. Step 4: Simplify right side
    9,172.64x = 35,755,493.09
  5. Step 5: Solve for x
    x = 35,755,493.09/9,172.64
  6. Step 6: Final answer
    x = 3,898.06

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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.