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Finding the Fourth Proportional to 9,097.49, 13,652.51 and 3,174.44

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Solution

The fourth proportional to 9,097.49, 13,652.51 and 3,174.44 is: 4,763.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.49 : 13,652.51 = 3,174.44 : x
  2. Step 2: Convert to fraction form
    9,097.49/13,652.51 = 3,174.44/x
  3. Step 3: Cross multiply
    9,097.49x = 13,652.51 × 3,174.44
  4. Step 4: Simplify right side
    9,097.49x = 43,338,989.71
  5. Step 5: Solve for x
    x = 43,338,989.71/9,097.49
  6. Step 6: Final answer
    x = 4,763.84

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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.