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Finding the Fourth Proportional to 9,896.16, 14,846.67 and 4,953.54

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Solution

The fourth proportional to 9,896.16, 14,846.67 and 4,953.54 is: 7,431.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,896.16 : 14,846.67 = 4,953.54 : x
  2. Step 2: Convert to fraction form
    9,896.16/14,846.67 = 4,953.54/x
  3. Step 3: Cross multiply
    9,896.16x = 14,846.67 × 4,953.54
  4. Step 4: Simplify right side
    9,896.16x = 73,543,573.71
  5. Step 5: Solve for x
    x = 73,543,573.71/9,896.16
  6. Step 6: Final answer
    x = 7,431.53

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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.