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Finding the Fourth Proportional to 28,884.40, 43,328.14 and 9,164.48

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Solution

The fourth proportional to 28,884.40, 43,328.14 and 9,164.48 is: 13,747.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,884.40 : 43,328.14 = 9,164.48 : x
  2. Step 2: Convert to fraction form
    28,884.40/43,328.14 = 9,164.48/x
  3. Step 3: Cross multiply
    28,884.40x = 43,328.14 × 9,164.48
  4. Step 4: Simplify right side
    28,884.40x = 397,079,632.92
  5. Step 5: Solve for x
    x = 397,079,632.92/28,884.40
  6. Step 6: Final answer
    x = 13,747.20

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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.