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Finding the Fourth Proportional to 9,705.92, 13,391.04 and 5,728.36

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Solution

The fourth proportional to 9,705.92, 13,391.04 and 5,728.36 is: 7,903.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,705.92 : 13,391.04 = 5,728.36 : x
  2. Step 2: Convert to fraction form
    9,705.92/13,391.04 = 5,728.36/x
  3. Step 3: Cross multiply
    9,705.92x = 13,391.04 × 5,728.36
  4. Step 4: Simplify right side
    9,705.92x = 76,708,697.89
  5. Step 5: Solve for x
    x = 76,708,697.89/9,705.92
  6. Step 6: Final answer
    x = 7,903.29

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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.