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Finding the Fourth Proportional to 9,656.40, 14,502.20 and 8,446.80

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Solution

The fourth proportional to 9,656.40, 14,502.20 and 8,446.80 is: 12,685.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,656.40 : 14,502.20 = 8,446.80 : x
  2. Step 2: Convert to fraction form
    9,656.40/14,502.20 = 8,446.80/x
  3. Step 3: Cross multiply
    9,656.40x = 14,502.20 × 8,446.80
  4. Step 4: Simplify right side
    9,656.40x = 122,497,182.96
  5. Step 5: Solve for x
    x = 122,497,182.96/9,656.40
  6. Step 6: Final answer
    x = 12,685.60

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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.