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Finding the Fourth Proportional to 6,534.09, 9,013.12 and 6,096.69

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Solution

The fourth proportional to 6,534.09, 9,013.12 and 6,096.69 is: 8,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.09 : 9,013.12 = 6,096.69 : x
  2. Step 2: Convert to fraction form
    6,534.09/9,013.12 = 6,096.69/x
  3. Step 3: Cross multiply
    6,534.09x = 9,013.12 × 6,096.69
  4. Step 4: Simplify right side
    6,534.09x = 54,950,198.57
  5. Step 5: Solve for x
    x = 54,950,198.57/6,534.09
  6. Step 6: Final answer
    x = 8,409.77

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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.