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Finding the Fourth Proportional to 6,689.34, 9,231.81 and 3,705.46

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Solution

The fourth proportional to 6,689.34, 9,231.81 and 3,705.46 is: 5,113.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,689.34 : 9,231.81 = 3,705.46 : x
  2. Step 2: Convert to fraction form
    6,689.34/9,231.81 = 3,705.46/x
  3. Step 3: Cross multiply
    6,689.34x = 9,231.81 × 3,705.46
  4. Step 4: Simplify right side
    6,689.34x = 34,208,079.60
  5. Step 5: Solve for x
    x = 34,208,079.60/6,689.34
  6. Step 6: Final answer
    x = 5,113.82

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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.