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Finding the Fourth Proportional to 9,090.34, 13,635.12 and 2,850.20

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Solution

The fourth proportional to 9,090.34, 13,635.12 and 2,850.20 is: 4,275.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.34 : 13,635.12 = 2,850.20 : x
  2. Step 2: Convert to fraction form
    9,090.34/13,635.12 = 2,850.20/x
  3. Step 3: Cross multiply
    9,090.34x = 13,635.12 × 2,850.20
  4. Step 4: Simplify right side
    9,090.34x = 38,862,819.02
  5. Step 5: Solve for x
    x = 38,862,819.02/9,090.34
  6. Step 6: Final answer
    x = 4,275.18

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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.