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Finding the Fourth Proportional to 28,189.16, 42,284.76 and 9,469.80

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Solution

The fourth proportional to 28,189.16, 42,284.76 and 9,469.80 is: 14,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,189.16 : 42,284.76 = 9,469.80 : x
  2. Step 2: Convert to fraction form
    28,189.16/42,284.76 = 9,469.80/x
  3. Step 3: Cross multiply
    28,189.16x = 42,284.76 × 9,469.80
  4. Step 4: Simplify right side
    28,189.16x = 400,428,220.25
  5. Step 5: Solve for x
    x = 400,428,220.25/28,189.16
  6. Step 6: Final answer
    x = 14,205.05

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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.