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Finding the Fourth Proportional to 9,211.32, 13,815.09 and 7,661.31

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Solution

The fourth proportional to 9,211.32, 13,815.09 and 7,661.31 is: 11,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,211.32 : 13,815.09 = 7,661.31 : x
  2. Step 2: Convert to fraction form
    9,211.32/13,815.09 = 7,661.31/x
  3. Step 3: Cross multiply
    9,211.32x = 13,815.09 × 7,661.31
  4. Step 4: Simplify right side
    9,211.32x = 105,841,687.17
  5. Step 5: Solve for x
    x = 105,841,687.17/9,211.32
  6. Step 6: Final answer
    x = 11,490.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.