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Finding the Fourth Proportional to 9,682.87, 14,500.91 and 5,510.24

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Solution

The fourth proportional to 9,682.87, 14,500.91 and 5,510.24 is: 8,252.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.87 : 14,500.91 = 5,510.24 : x
  2. Step 2: Convert to fraction form
    9,682.87/14,500.91 = 5,510.24/x
  3. Step 3: Cross multiply
    9,682.87x = 14,500.91 × 5,510.24
  4. Step 4: Simplify right side
    9,682.87x = 79,903,494.32
  5. Step 5: Solve for x
    x = 79,903,494.32/9,682.87
  6. Step 6: Final answer
    x = 8,252.05

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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.