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Finding the Fourth Proportional to 9,738.25, 14,602.17 and 5,053.54

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Solution

The fourth proportional to 9,738.25, 14,602.17 and 5,053.54 is: 7,577.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,738.25 : 14,602.17 = 5,053.54 : x
  2. Step 2: Convert to fraction form
    9,738.25/14,602.17 = 5,053.54/x
  3. Step 3: Cross multiply
    9,738.25x = 14,602.17 × 5,053.54
  4. Step 4: Simplify right side
    9,738.25x = 73,792,660.01
  5. Step 5: Solve for x
    x = 73,792,660.01/9,738.25
  6. Step 6: Final answer
    x = 7,577.61

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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.