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Finding the Fourth Proportional to 9,947.74, 14,908.17 and 3,788.38

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Solution

The fourth proportional to 9,947.74, 14,908.17 and 3,788.38 is: 5,677.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,947.74 : 14,908.17 = 3,788.38 : x
  2. Step 2: Convert to fraction form
    9,947.74/14,908.17 = 3,788.38/x
  3. Step 3: Cross multiply
    9,947.74x = 14,908.17 × 3,788.38
  4. Step 4: Simplify right side
    9,947.74x = 56,477,813.06
  5. Step 5: Solve for x
    x = 56,477,813.06/9,947.74
  6. Step 6: Final answer
    x = 5,677.45

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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.