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Finding the Fourth Proportional to 9,677.52, 14,517.90 and 8,697.96

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Solution

The fourth proportional to 9,677.52, 14,517.90 and 8,697.96 is: 13,048.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.52 : 14,517.90 = 8,697.96 : x
  2. Step 2: Convert to fraction form
    9,677.52/14,517.90 = 8,697.96/x
  3. Step 3: Cross multiply
    9,677.52x = 14,517.90 × 8,697.96
  4. Step 4: Simplify right side
    9,677.52x = 126,276,113.48
  5. Step 5: Solve for x
    x = 126,276,113.48/9,677.52
  6. Step 6: Final answer
    x = 13,048.40

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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.