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Finding the Fourth Proportional to 9,715.43, 13,406.09 and 6,129.03

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Solution

The fourth proportional to 9,715.43, 13,406.09 and 6,129.03 is: 8,457.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,715.43 : 13,406.09 = 6,129.03 : x
  2. Step 2: Convert to fraction form
    9,715.43/13,406.09 = 6,129.03/x
  3. Step 3: Cross multiply
    9,715.43x = 13,406.09 × 6,129.03
  4. Step 4: Simplify right side
    9,715.43x = 82,166,297.15
  5. Step 5: Solve for x
    x = 82,166,297.15/9,715.43
  6. Step 6: Final answer
    x = 8,457.30

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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.