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Finding the Fourth Proportional to 9,663.06, 14,494.74 and 2,737.56

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Solution

The fourth proportional to 9,663.06, 14,494.74 and 2,737.56 is: 4,106.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,663.06 : 14,494.74 = 2,737.56 : x
  2. Step 2: Convert to fraction form
    9,663.06/14,494.74 = 2,737.56/x
  3. Step 3: Cross multiply
    9,663.06x = 14,494.74 × 2,737.56
  4. Step 4: Simplify right side
    9,663.06x = 39,680,220.43
  5. Step 5: Solve for x
    x = 39,680,220.43/9,663.06
  6. Step 6: Final answer
    x = 4,106.38

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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.