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Finding the Fourth Proportional to 9,402.35, 12,974.83 and 5,623.32

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Solution

The fourth proportional to 9,402.35, 12,974.83 and 5,623.32 is: 7,759.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,402.35 : 12,974.83 = 5,623.32 : x
  2. Step 2: Convert to fraction form
    9,402.35/12,974.83 = 5,623.32/x
  3. Step 3: Cross multiply
    9,402.35x = 12,974.83 × 5,623.32
  4. Step 4: Simplify right side
    9,402.35x = 72,961,687.26
  5. Step 5: Solve for x
    x = 72,961,687.26/9,402.35
  6. Step 6: Final answer
    x = 7,759.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.