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Finding the Fourth Proportional to 6,688.76, 9,231.30 and 3,894.28

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Solution

The fourth proportional to 6,688.76, 9,231.30 and 3,894.28 is: 5,374.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,688.76 : 9,231.30 = 3,894.28 : x
  2. Step 2: Convert to fraction form
    6,688.76/9,231.30 = 3,894.28/x
  3. Step 3: Cross multiply
    6,688.76x = 9,231.30 × 3,894.28
  4. Step 4: Simplify right side
    6,688.76x = 35,949,266.96
  5. Step 5: Solve for x
    x = 35,949,266.96/6,688.76
  6. Step 6: Final answer
    x = 5,374.58

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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.