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Finding the Fourth Proportional to 7,134.72, 9,837.96 and 4,478.88

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Solution

The fourth proportional to 7,134.72, 9,837.96 and 4,478.88 is: 6,175.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,134.72 : 9,837.96 = 4,478.88 : x
  2. Step 2: Convert to fraction form
    7,134.72/9,837.96 = 4,478.88/x
  3. Step 3: Cross multiply
    7,134.72x = 9,837.96 × 4,478.88
  4. Step 4: Simplify right side
    7,134.72x = 44,063,042.28
  5. Step 5: Solve for x
    x = 44,063,042.28/7,134.72
  6. Step 6: Final answer
    x = 6,175.86

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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.