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Finding the Fourth Proportional to 9,453.09, 13,040.87 and 6,096.98

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Solution

The fourth proportional to 9,453.09, 13,040.87 and 6,096.98 is: 8,410.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.09 : 13,040.87 = 6,096.98 : x
  2. Step 2: Convert to fraction form
    9,453.09/13,040.87 = 6,096.98/x
  3. Step 3: Cross multiply
    9,453.09x = 13,040.87 × 6,096.98
  4. Step 4: Simplify right side
    9,453.09x = 79,509,827.88
  5. Step 5: Solve for x
    x = 79,509,827.88/9,453.09
  6. Step 6: Final answer
    x = 8,410.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.