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Finding the Fourth Proportional to 9,940.72, 14,902.44 and 5,564.56

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Solution

The fourth proportional to 9,940.72, 14,902.44 and 5,564.56 is: 8,342.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,940.72 : 14,902.44 = 5,564.56 : x
  2. Step 2: Convert to fraction form
    9,940.72/14,902.44 = 5,564.56/x
  3. Step 3: Cross multiply
    9,940.72x = 14,902.44 × 5,564.56
  4. Step 4: Simplify right side
    9,940.72x = 82,925,521.53
  5. Step 5: Solve for x
    x = 82,925,521.53/9,940.72
  6. Step 6: Final answer
    x = 8,342.00

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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.