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Finding the Fourth Proportional to 9,966.40, 14,906.40 and 8,411.20

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Solution

The fourth proportional to 9,966.40, 14,906.40 and 8,411.20 is: 12,580.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,966.40 : 14,906.40 = 8,411.20 : x
  2. Step 2: Convert to fraction form
    9,966.40/14,906.40 = 8,411.20/x
  3. Step 3: Cross multiply
    9,966.40x = 14,906.40 × 8,411.20
  4. Step 4: Simplify right side
    9,966.40x = 125,380,711.68
  5. Step 5: Solve for x
    x = 125,380,711.68/9,966.40
  6. Step 6: Final answer
    x = 12,580.34

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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.