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Finding the Fourth Proportional to 9,027.14, 13,539.80 and 2,454

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Solution

The fourth proportional to 9,027.14, 13,539.80 and 2,454 is: 3,680.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.14 : 13,539.80 = 2,454 : x
  2. Step 2: Convert to fraction form
    9,027.14/13,539.80 = 2,454/x
  3. Step 3: Cross multiply
    9,027.14x = 13,539.80 × 2,454
  4. Step 4: Simplify right side
    9,027.14x = 33,226,669.20
  5. Step 5: Solve for x
    x = 33,226,669.20/9,027.14
  6. Step 6: Final answer
    x = 3,680.75

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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.