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Finding the Fourth Proportional to 9,674.60, 14,511.90 and 8,407.40

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Solution

The fourth proportional to 9,674.60, 14,511.90 and 8,407.40 is: 12,611.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,674.60 : 14,511.90 = 8,407.40 : x
  2. Step 2: Convert to fraction form
    9,674.60/14,511.90 = 8,407.40/x
  3. Step 3: Cross multiply
    9,674.60x = 14,511.90 × 8,407.40
  4. Step 4: Simplify right side
    9,674.60x = 122,007,348.06
  5. Step 5: Solve for x
    x = 122,007,348.06/9,674.60
  6. Step 6: Final answer
    x = 12,611.10

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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.