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Finding the Fourth Proportional to 9,761.47, 14,644.92 and 3,188.05

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Solution

The fourth proportional to 9,761.47, 14,644.92 and 3,188.05 is: 4,782.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.47 : 14,644.92 = 3,188.05 : x
  2. Step 2: Convert to fraction form
    9,761.47/14,644.92 = 3,188.05/x
  3. Step 3: Cross multiply
    9,761.47x = 14,644.92 × 3,188.05
  4. Step 4: Simplify right side
    9,761.47x = 46,688,737.21
  5. Step 5: Solve for x
    x = 46,688,737.21/9,761.47
  6. Step 6: Final answer
    x = 4,782.96

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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.