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Finding the Fourth Proportional to 6,985.78, 9,645.29 and 5,741.62

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Solution

The fourth proportional to 6,985.78, 9,645.29 and 5,741.62 is: 7,927.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,985.78 : 9,645.29 = 5,741.62 : x
  2. Step 2: Convert to fraction form
    6,985.78/9,645.29 = 5,741.62/x
  3. Step 3: Cross multiply
    6,985.78x = 9,645.29 × 5,741.62
  4. Step 4: Simplify right side
    6,985.78x = 55,379,589.97
  5. Step 5: Solve for x
    x = 55,379,589.97/6,985.78
  6. Step 6: Final answer
    x = 7,927.47

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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.