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Finding the Fourth Proportional to 9,737.06, 14,595.86 and 3,805.81

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Solution

The fourth proportional to 9,737.06, 14,595.86 and 3,805.81 is: 5,704.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,737.06 : 14,595.86 = 3,805.81 : x
  2. Step 2: Convert to fraction form
    9,737.06/14,595.86 = 3,805.81/x
  3. Step 3: Cross multiply
    9,737.06x = 14,595.86 × 3,805.81
  4. Step 4: Simplify right side
    9,737.06x = 55,548,996.97
  5. Step 5: Solve for x
    x = 55,548,996.97/9,737.06
  6. Step 6: Final answer
    x = 5,704.91

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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.