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Finding the Fourth Proportional to 9,305.97, 13,944.38 and 7,913.58

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Solution

The fourth proportional to 9,305.97, 13,944.38 and 7,913.58 is: 11,857.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,305.97 : 13,944.38 = 7,913.58 : x
  2. Step 2: Convert to fraction form
    9,305.97/13,944.38 = 7,913.58/x
  3. Step 3: Cross multiply
    9,305.97x = 13,944.38 × 7,913.58
  4. Step 4: Simplify right side
    9,305.97x = 110,349,927.11
  5. Step 5: Solve for x
    x = 110,349,927.11/9,305.97
  6. Step 6: Final answer
    x = 11,857.97

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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.