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Finding the Fourth Proportional to 10,964.20, 16,446.30 and 9,117.40

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Solution

The fourth proportional to 10,964.20, 16,446.30 and 9,117.40 is: 13,676.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,964.20 : 16,446.30 = 9,117.40 : x
  2. Step 2: Convert to fraction form
    10,964.20/16,446.30 = 9,117.40/x
  3. Step 3: Cross multiply
    10,964.20x = 16,446.30 × 9,117.40
  4. Step 4: Simplify right side
    10,964.20x = 149,947,495.62
  5. Step 5: Solve for x
    x = 149,947,495.62/10,964.20
  6. Step 6: Final answer
    x = 13,676.10

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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.