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Finding the Fourth Proportional to 7,924.30, 11,898.44 and 6,294.06

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Solution

The fourth proportional to 7,924.30, 11,898.44 and 6,294.06 is: 9,450.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,924.30 : 11,898.44 = 6,294.06 : x
  2. Step 2: Convert to fraction form
    7,924.30/11,898.44 = 6,294.06/x
  3. Step 3: Cross multiply
    7,924.30x = 11,898.44 × 6,294.06
  4. Step 4: Simplify right side
    7,924.30x = 74,889,495.27
  5. Step 5: Solve for x
    x = 74,889,495.27/7,924.30
  6. Step 6: Final answer
    x = 9,450.61

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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.