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Finding the Fourth Proportional to 9,173.98, 13,758.94 and 2,600.02

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Solution

The fourth proportional to 9,173.98, 13,758.94 and 2,600.02 is: 3,899.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,173.98 : 13,758.94 = 2,600.02 : x
  2. Step 2: Convert to fraction form
    9,173.98/13,758.94 = 2,600.02/x
  3. Step 3: Cross multiply
    9,173.98x = 13,758.94 × 2,600.02
  4. Step 4: Simplify right side
    9,173.98x = 35,773,519.18
  5. Step 5: Solve for x
    x = 35,773,519.18/9,173.98
  6. Step 6: Final answer
    x = 3,899.45

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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.