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Finding the Fourth Proportional to 9,706.72, 13,395.10 and 5,728.20

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Solution

The fourth proportional to 9,706.72, 13,395.10 and 5,728.20 is: 7,904.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,706.72 : 13,395.10 = 5,728.20 : x
  2. Step 2: Convert to fraction form
    9,706.72/13,395.10 = 5,728.20/x
  3. Step 3: Cross multiply
    9,706.72x = 13,395.10 × 5,728.20
  4. Step 4: Simplify right side
    9,706.72x = 76,729,811.82
  5. Step 5: Solve for x
    x = 76,729,811.82/9,706.72
  6. Step 6: Final answer
    x = 7,904.81

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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.