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Finding the Fourth Proportional to 6,837.44, 9,437.28 and 4,352

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Solution

The fourth proportional to 6,837.44, 9,437.28 and 4,352 is: 6,006.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,837.44 : 9,437.28 = 4,352 : x
  2. Step 2: Convert to fraction form
    6,837.44/9,437.28 = 4,352/x
  3. Step 3: Cross multiply
    6,837.44x = 9,437.28 × 4,352
  4. Step 4: Simplify right side
    6,837.44x = 41,071,042.56
  5. Step 5: Solve for x
    x = 41,071,042.56/6,837.44
  6. Step 6: Final answer
    x = 6,006.79

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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.