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Finding the Fourth Proportional to 6,805.31, 9,392.34 and 4,154.25

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Solution

The fourth proportional to 6,805.31, 9,392.34 and 4,154.25 is: 5,733.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.31 : 9,392.34 = 4,154.25 : x
  2. Step 2: Convert to fraction form
    6,805.31/9,392.34 = 4,154.25/x
  3. Step 3: Cross multiply
    6,805.31x = 9,392.34 × 4,154.25
  4. Step 4: Simplify right side
    6,805.31x = 39,018,128.45
  5. Step 5: Solve for x
    x = 39,018,128.45/6,805.31
  6. Step 6: Final answer
    x = 5,733.49

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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.