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Finding the Fourth Proportional to 9,463.40, 14,195.10 and 5,316.20

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Solution

The fourth proportional to 9,463.40, 14,195.10 and 5,316.20 is: 7,974.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.40 : 14,195.10 = 5,316.20 : x
  2. Step 2: Convert to fraction form
    9,463.40/14,195.10 = 5,316.20/x
  3. Step 3: Cross multiply
    9,463.40x = 14,195.10 × 5,316.20
  4. Step 4: Simplify right side
    9,463.40x = 75,463,990.62
  5. Step 5: Solve for x
    x = 75,463,990.62/9,463.40
  6. Step 6: Final answer
    x = 7,974.30

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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.