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Finding the Fourth Proportional to 9,107.42, 13,666.43 and 3,842.10

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Solution

The fourth proportional to 9,107.42, 13,666.43 and 3,842.10 is: 5,765.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.42 : 13,666.43 = 3,842.10 : x
  2. Step 2: Convert to fraction form
    9,107.42/13,666.43 = 3,842.10/x
  3. Step 3: Cross multiply
    9,107.42x = 13,666.43 × 3,842.10
  4. Step 4: Simplify right side
    9,107.42x = 52,507,790.70
  5. Step 5: Solve for x
    x = 52,507,790.70/9,107.42
  6. Step 6: Final answer
    x = 5,765.39

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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.