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Finding the Fourth Proportional to 9,141.44, 13,712.22 and 2,567.75

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Solution

The fourth proportional to 9,141.44, 13,712.22 and 2,567.75 is: 3,851.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.44 : 13,712.22 = 2,567.75 : x
  2. Step 2: Convert to fraction form
    9,141.44/13,712.22 = 2,567.75/x
  3. Step 3: Cross multiply
    9,141.44x = 13,712.22 × 2,567.75
  4. Step 4: Simplify right side
    9,141.44x = 35,209,484.34
  5. Step 5: Solve for x
    x = 35,209,484.34/9,141.44
  6. Step 6: Final answer
    x = 3,851.64

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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.