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Finding the Fourth Proportional to 9,463.54, 14,195.24 and 2,442.96

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Solution

The fourth proportional to 9,463.54, 14,195.24 and 2,442.96 is: 3,664.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.54 : 14,195.24 = 2,442.96 : x
  2. Step 2: Convert to fraction form
    9,463.54/14,195.24 = 2,442.96/x
  3. Step 3: Cross multiply
    9,463.54x = 14,195.24 × 2,442.96
  4. Step 4: Simplify right side
    9,463.54x = 34,678,403.51
  5. Step 5: Solve for x
    x = 34,678,403.51/9,463.54
  6. Step 6: Final answer
    x = 3,664.42

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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.