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Finding the Fourth Proportional to 9,673.14, 14,504.92 and 3,432.21

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Solution

The fourth proportional to 9,673.14, 14,504.92 and 3,432.21 is: 5,146.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,673.14 : 14,504.92 = 3,432.21 : x
  2. Step 2: Convert to fraction form
    9,673.14/14,504.92 = 3,432.21/x
  3. Step 3: Cross multiply
    9,673.14x = 14,504.92 × 3,432.21
  4. Step 4: Simplify right side
    9,673.14x = 49,783,931.47
  5. Step 5: Solve for x
    x = 49,783,931.47/9,673.14
  6. Step 6: Final answer
    x = 5,146.62

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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.