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Finding the Fourth Proportional to 9,744.49, 14,611.53 and 5,059.78

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Solution

The fourth proportional to 9,744.49, 14,611.53 and 5,059.78 is: 7,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.49 : 14,611.53 = 5,059.78 : x
  2. Step 2: Convert to fraction form
    9,744.49/14,611.53 = 5,059.78/x
  3. Step 3: Cross multiply
    9,744.49x = 14,611.53 × 5,059.78
  4. Step 4: Simplify right side
    9,744.49x = 73,931,127.26
  5. Step 5: Solve for x
    x = 73,931,127.26/9,744.49
  6. Step 6: Final answer
    x = 7,586.97

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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.