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Finding the Fourth Proportional to 9,394.38, 14,096.43 and 4,463.10

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Solution

The fourth proportional to 9,394.38, 14,096.43 and 4,463.10 is: 6,696.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,394.38 : 14,096.43 = 4,463.10 : x
  2. Step 2: Convert to fraction form
    9,394.38/14,096.43 = 4,463.10/x
  3. Step 3: Cross multiply
    9,394.38x = 14,096.43 × 4,463.10
  4. Step 4: Simplify right side
    9,394.38x = 62,913,776.73
  5. Step 5: Solve for x
    x = 62,913,776.73/9,394.38
  6. Step 6: Final answer
    x = 6,696.96

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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.