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Finding the Fourth Proportional to 9,677.63, 14,517.96 and 4,131

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Solution

The fourth proportional to 9,677.63, 14,517.96 and 4,131 is: 6,197.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.63 : 14,517.96 = 4,131 : x
  2. Step 2: Convert to fraction form
    9,677.63/14,517.96 = 4,131/x
  3. Step 3: Cross multiply
    9,677.63x = 14,517.96 × 4,131
  4. Step 4: Simplify right side
    9,677.63x = 59,973,688.89
  5. Step 5: Solve for x
    x = 59,973,688.89/9,677.63
  6. Step 6: Final answer
    x = 6,197.15

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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.