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Finding the Fourth Proportional to 9,027.10, 13,544.70 and 4,094.20

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Solution

The fourth proportional to 9,027.10, 13,544.70 and 4,094.20 is: 6,143.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.10 : 13,544.70 = 4,094.20 : x
  2. Step 2: Convert to fraction form
    9,027.10/13,544.70 = 4,094.20/x
  3. Step 3: Cross multiply
    9,027.10x = 13,544.70 × 4,094.20
  4. Step 4: Simplify right side
    9,027.10x = 55,454,710.74
  5. Step 5: Solve for x
    x = 55,454,710.74/9,027.10
  6. Step 6: Final answer
    x = 6,143.14

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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.