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Finding the Fourth Proportional to 9,272.26, 12,795 and 5,292.82

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Solution

The fourth proportional to 9,272.26, 12,795 and 5,292.82 is: 7,303.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.26 : 12,795 = 5,292.82 : x
  2. Step 2: Convert to fraction form
    9,272.26/12,795 = 5,292.82/x
  3. Step 3: Cross multiply
    9,272.26x = 12,795 × 5,292.82
  4. Step 4: Simplify right side
    9,272.26x = 67,721,631.90
  5. Step 5: Solve for x
    x = 67,721,631.90/9,272.26
  6. Step 6: Final answer
    x = 7,303.68

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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.