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Finding the Fourth Proportional to 9,000.27, 12,415.20 and 5,412.75

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Solution

The fourth proportional to 9,000.27, 12,415.20 and 5,412.75 is: 7,466.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000.27 : 12,415.20 = 5,412.75 : x
  2. Step 2: Convert to fraction form
    9,000.27/12,415.20 = 5,412.75/x
  3. Step 3: Cross multiply
    9,000.27x = 12,415.20 × 5,412.75
  4. Step 4: Simplify right side
    9,000.27x = 67,200,373.80
  5. Step 5: Solve for x
    x = 67,200,373.80/9,000.27
  6. Step 6: Final answer
    x = 7,466.48

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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.