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Finding the Fourth Proportional to 9,760.56, 14,626.05 and 6,461.83

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Solution

The fourth proportional to 9,760.56, 14,626.05 and 6,461.83 is: 9,682.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.56 : 14,626.05 = 6,461.83 : x
  2. Step 2: Convert to fraction form
    9,760.56/14,626.05 = 6,461.83/x
  3. Step 3: Cross multiply
    9,760.56x = 14,626.05 × 6,461.83
  4. Step 4: Simplify right side
    9,760.56x = 94,511,048.67
  5. Step 5: Solve for x
    x = 94,511,048.67/9,760.56
  6. Step 6: Final answer
    x = 9,682.95

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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.