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Finding the Fourth Proportional to 6,688.62, 9,228.92 and 3,704.26

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Solution

The fourth proportional to 6,688.62, 9,228.92 and 3,704.26 is: 5,111.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.62 : 9,228.92 = 3,704.26 : x
  2. Step 2: Convert to fraction form
    6,688.62/9,228.92 = 3,704.26/x
  3. Step 3: Cross multiply
    6,688.62x = 9,228.92 × 3,704.26
  4. Step 4: Simplify right side
    6,688.62x = 34,186,319.20
  5. Step 5: Solve for x
    x = 34,186,319.20/6,688.62
  6. Step 6: Final answer
    x = 5,111.12

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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.