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Finding the Fourth Proportional to 6,688.64, 9,230.16 and 3,704.42

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Solution

The fourth proportional to 6,688.64, 9,230.16 and 3,704.42 is: 5,112.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.64 : 9,230.16 = 3,704.42 : x
  2. Step 2: Convert to fraction form
    6,688.64/9,230.16 = 3,704.42/x
  3. Step 3: Cross multiply
    6,688.64x = 9,230.16 × 3,704.42
  4. Step 4: Simplify right side
    6,688.64x = 34,192,389.31
  5. Step 5: Solve for x
    x = 34,192,389.31/6,688.64
  6. Step 6: Final answer
    x = 5,112.01

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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.