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Finding the Fourth Proportional to 9,971.35, 14,950.79 and 3,728.07

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Solution

The fourth proportional to 9,971.35, 14,950.79 and 3,728.07 is: 5,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,971.35 : 14,950.79 = 3,728.07 : x
  2. Step 2: Convert to fraction form
    9,971.35/14,950.79 = 3,728.07/x
  3. Step 3: Cross multiply
    9,971.35x = 14,950.79 × 3,728.07
  4. Step 4: Simplify right side
    9,971.35x = 55,737,573.03
  5. Step 5: Solve for x
    x = 55,737,573.03/9,971.35
  6. Step 6: Final answer
    x = 5,589.77

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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.