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Finding the Fourth Proportional to 9,288.25, 13,951.64 and 7,511.31

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Solution

The fourth proportional to 9,288.25, 13,951.64 and 7,511.31 is: 11,282.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,288.25 : 13,951.64 = 7,511.31 : x
  2. Step 2: Convert to fraction form
    9,288.25/13,951.64 = 7,511.31/x
  3. Step 3: Cross multiply
    9,288.25x = 13,951.64 × 7,511.31
  4. Step 4: Simplify right side
    9,288.25x = 104,795,111.83
  5. Step 5: Solve for x
    x = 104,795,111.83/9,288.25
  6. Step 6: Final answer
    x = 11,282.55

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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.