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Finding the Fourth Proportional to 9,683.76, 13,362.96 and 5,704.10

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Solution

The fourth proportional to 9,683.76, 13,362.96 and 5,704.10 is: 7,871.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,683.76 : 13,362.96 = 5,704.10 : x
  2. Step 2: Convert to fraction form
    9,683.76/13,362.96 = 5,704.10/x
  3. Step 3: Cross multiply
    9,683.76x = 13,362.96 × 5,704.10
  4. Step 4: Simplify right side
    9,683.76x = 76,223,660.14
  5. Step 5: Solve for x
    x = 76,223,660.14/9,683.76
  6. Step 6: Final answer
    x = 7,871.29

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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.