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Finding the Fourth Proportional to 9,731.07, 14,601.47 and 8,441.55

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Solution

The fourth proportional to 9,731.07, 14,601.47 and 8,441.55 is: 12,666.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.07 : 14,601.47 = 8,441.55 : x
  2. Step 2: Convert to fraction form
    9,731.07/14,601.47 = 8,441.55/x
  3. Step 3: Cross multiply
    9,731.07x = 14,601.47 × 8,441.55
  4. Step 4: Simplify right side
    9,731.07x = 123,258,996.87
  5. Step 5: Solve for x
    x = 123,258,996.87/9,731.07
  6. Step 6: Final answer
    x = 12,666.54

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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.