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Finding the Fourth Proportional to 9,640.13, 13,304.81 and 6,103.67

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Solution

The fourth proportional to 9,640.13, 13,304.81 and 6,103.67 is: 8,423.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.13 : 13,304.81 = 6,103.67 : x
  2. Step 2: Convert to fraction form
    9,640.13/13,304.81 = 6,103.67/x
  3. Step 3: Cross multiply
    9,640.13x = 13,304.81 × 6,103.67
  4. Step 4: Simplify right side
    9,640.13x = 81,208,139.13
  5. Step 5: Solve for x
    x = 81,208,139.13/9,640.13
  6. Step 6: Final answer
    x = 8,423.97

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.