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Finding the Fourth Proportional to 10,047.36, 13,865.92 and 6,904.96

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Solution

The fourth proportional to 10,047.36, 13,865.92 and 6,904.96 is: 9,529.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,047.36 : 13,865.92 = 6,904.96 : x
  2. Step 2: Convert to fraction form
    10,047.36/13,865.92 = 6,904.96/x
  3. Step 3: Cross multiply
    10,047.36x = 13,865.92 × 6,904.96
  4. Step 4: Simplify right side
    10,047.36x = 95,743,622.96
  5. Step 5: Solve for x
    x = 95,743,622.96/10,047.36
  6. Step 6: Final answer
    x = 9,529.23

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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.