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Finding the Fourth Proportional to 9,686.63, 14,532.37 and 2,761.13

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Solution

The fourth proportional to 9,686.63, 14,532.37 and 2,761.13 is: 4,142.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,686.63 : 14,532.37 = 2,761.13 : x
  2. Step 2: Convert to fraction form
    9,686.63/14,532.37 = 2,761.13/x
  3. Step 3: Cross multiply
    9,686.63x = 14,532.37 × 2,761.13
  4. Step 4: Simplify right side
    9,686.63x = 40,125,683.21
  5. Step 5: Solve for x
    x = 40,125,683.21/9,686.63
  6. Step 6: Final answer
    x = 4,142.38

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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.