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Finding the Fourth Proportional to 9,945.40, 14,918.10 and 6,446.20

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Solution

The fourth proportional to 9,945.40, 14,918.10 and 6,446.20 is: 9,669.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,945.40 : 14,918.10 = 6,446.20 : x
  2. Step 2: Convert to fraction form
    9,945.40/14,918.10 = 6,446.20/x
  3. Step 3: Cross multiply
    9,945.40x = 14,918.10 × 6,446.20
  4. Step 4: Simplify right side
    9,945.40x = 96,165,056.22
  5. Step 5: Solve for x
    x = 96,165,056.22/9,945.40
  6. Step 6: Final answer
    x = 9,669.30

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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.