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Finding the Fourth Proportional to 7,052.44, 9,730.82 and 4,257.88

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Solution

The fourth proportional to 7,052.44, 9,730.82 and 4,257.88 is: 5,874.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,052.44 : 9,730.82 = 4,257.88 : x
  2. Step 2: Convert to fraction form
    7,052.44/9,730.82 = 4,257.88/x
  3. Step 3: Cross multiply
    7,052.44x = 9,730.82 × 4,257.88
  4. Step 4: Simplify right side
    7,052.44x = 41,432,663.86
  5. Step 5: Solve for x
    x = 41,432,663.86/7,052.44
  6. Step 6: Final answer
    x = 5,874.94

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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.