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Finding the Fourth Proportional to 28,811.76, 43,193.88 and 9,078

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Solution

The fourth proportional to 28,811.76, 43,193.88 and 9,078 is: 13,609.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,811.76 : 43,193.88 = 9,078 : x
  2. Step 2: Convert to fraction form
    28,811.76/43,193.88 = 9,078/x
  3. Step 3: Cross multiply
    28,811.76x = 43,193.88 × 9,078
  4. Step 4: Simplify right side
    28,811.76x = 392,114,042.64
  5. Step 5: Solve for x
    x = 392,114,042.64/28,811.76
  6. Step 6: Final answer
    x = 13,609.51

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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.