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Finding the Fourth Proportional to 6,705.34, 9,250.04 and 5,447.82

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Solution

The fourth proportional to 6,705.34, 9,250.04 and 5,447.82 is: 7,515.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,705.34 : 9,250.04 = 5,447.82 : x
  2. Step 2: Convert to fraction form
    6,705.34/9,250.04 = 5,447.82/x
  3. Step 3: Cross multiply
    6,705.34x = 9,250.04 × 5,447.82
  4. Step 4: Simplify right side
    6,705.34x = 50,392,552.91
  5. Step 5: Solve for x
    x = 50,392,552.91/6,705.34
  6. Step 6: Final answer
    x = 7,515.29

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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.