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Finding the Fourth Proportional to 9,477.27, 13,083.92 and 6,653.31

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Solution

The fourth proportional to 9,477.27, 13,083.92 and 6,653.31 is: 9,185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,477.27 : 13,083.92 = 6,653.31 : x
  2. Step 2: Convert to fraction form
    9,477.27/13,083.92 = 6,653.31/x
  3. Step 3: Cross multiply
    9,477.27x = 13,083.92 × 6,653.31
  4. Step 4: Simplify right side
    9,477.27x = 87,051,375.78
  5. Step 5: Solve for x
    x = 87,051,375.78/9,477.27
  6. Step 6: Final answer
    x = 9,185.28

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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.