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Finding the Fourth Proportional to 9,027.29, 13,534.74 and 4,811.16

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Solution

The fourth proportional to 9,027.29, 13,534.74 and 4,811.16 is: 7,213.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.29 : 13,534.74 = 4,811.16 : x
  2. Step 2: Convert to fraction form
    9,027.29/13,534.74 = 4,811.16/x
  3. Step 3: Cross multiply
    9,027.29x = 13,534.74 × 4,811.16
  4. Step 4: Simplify right side
    9,027.29x = 65,117,799.70
  5. Step 5: Solve for x
    x = 65,117,799.70/9,027.29
  6. Step 6: Final answer
    x = 7,213.44

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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.