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Finding the Fourth Proportional to 9,461.85, 13,052.95 and 6,105.73

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Solution

The fourth proportional to 9,461.85, 13,052.95 and 6,105.73 is: 8,423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,461.85 : 13,052.95 = 6,105.73 : x
  2. Step 2: Convert to fraction form
    9,461.85/13,052.95 = 6,105.73/x
  3. Step 3: Cross multiply
    9,461.85x = 13,052.95 × 6,105.73
  4. Step 4: Simplify right side
    9,461.85x = 79,697,764.98
  5. Step 5: Solve for x
    x = 79,697,764.98/9,461.85
  6. Step 6: Final answer
    x = 8,423.07

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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.