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Finding the Fourth Proportional to 9,090.63, 13,638.14 and 3,166.65

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Solution

The fourth proportional to 9,090.63, 13,638.14 and 3,166.65 is: 4,750.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,090.63 : 13,638.14 = 3,166.65 : x
  2. Step 2: Convert to fraction form
    9,090.63/13,638.14 = 3,166.65/x
  3. Step 3: Cross multiply
    9,090.63x = 13,638.14 × 3,166.65
  4. Step 4: Simplify right side
    9,090.63x = 43,187,200.20
  5. Step 5: Solve for x
    x = 43,187,200.20/9,090.63
  6. Step 6: Final answer
    x = 4,750.74

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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.