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Finding the Fourth Proportional to 10,478.43, 15,635.97 and 9,546.93

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Solution

The fourth proportional to 10,478.43, 15,635.97 and 9,546.93 is: 14,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,478.43 : 15,635.97 = 9,546.93 : x
  2. Step 2: Convert to fraction form
    10,478.43/15,635.97 = 9,546.93/x
  3. Step 3: Cross multiply
    10,478.43x = 15,635.97 × 9,546.93
  4. Step 4: Simplify right side
    10,478.43x = 149,275,511.07
  5. Step 5: Solve for x
    x = 149,275,511.07/10,478.43
  6. Step 6: Final answer
    x = 14,245.98

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.