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Finding the Fourth Proportional to 9,640.38, 14,460.56 and 3,484.38

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Solution

The fourth proportional to 9,640.38, 14,460.56 and 3,484.38 is: 5,226.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.38 : 14,460.56 = 3,484.38 : x
  2. Step 2: Convert to fraction form
    9,640.38/14,460.56 = 3,484.38/x
  3. Step 3: Cross multiply
    9,640.38x = 14,460.56 × 3,484.38
  4. Step 4: Simplify right side
    9,640.38x = 50,386,022.46
  5. Step 5: Solve for x
    x = 50,386,022.46/9,640.38
  6. Step 6: Final answer
    x = 5,226.56

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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.