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Finding the Fourth Proportional to 9,673.27, 14,510.22 and 3,098.60

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Solution

The fourth proportional to 9,673.27, 14,510.22 and 3,098.60 is: 4,647.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.27 : 14,510.22 = 3,098.60 : x
  2. Step 2: Convert to fraction form
    9,673.27/14,510.22 = 3,098.60/x
  3. Step 3: Cross multiply
    9,673.27x = 14,510.22 × 3,098.60
  4. Step 4: Simplify right side
    9,673.27x = 44,961,295.14
  5. Step 5: Solve for x
    x = 44,961,295.14/9,673.27
  6. Step 6: Final answer
    x = 4,647.99

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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.