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Finding the Fourth Proportional to 9,952.54, 14,930.60 and 4,105.96

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Solution

The fourth proportional to 9,952.54, 14,930.60 and 4,105.96 is: 6,159.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,952.54 : 14,930.60 = 4,105.96 : x
  2. Step 2: Convert to fraction form
    9,952.54/14,930.60 = 4,105.96/x
  3. Step 3: Cross multiply
    9,952.54x = 14,930.60 × 4,105.96
  4. Step 4: Simplify right side
    9,952.54x = 61,304,446.38
  5. Step 5: Solve for x
    x = 61,304,446.38/9,952.54
  6. Step 6: Final answer
    x = 6,159.68

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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.