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Finding the Fourth Proportional to 9,141.75, 12,615.62 and 5,415.75

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Solution

The fourth proportional to 9,141.75, 12,615.62 and 5,415.75 is: 7,473.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.75 : 12,615.62 = 5,415.75 : x
  2. Step 2: Convert to fraction form
    9,141.75/12,615.62 = 5,415.75/x
  3. Step 3: Cross multiply
    9,141.75x = 12,615.62 × 5,415.75
  4. Step 4: Simplify right side
    9,141.75x = 68,323,016.94
  5. Step 5: Solve for x
    x = 68,323,016.94/9,141.75
  6. Step 6: Final answer
    x = 7,473.74

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.