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Finding the Fourth Proportional to 9,272.25, 12,795.75 and 5,080.50

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Solution

The fourth proportional to 9,272.25, 12,795.75 and 5,080.50 is: 7,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,272.25 : 12,795.75 = 5,080.50 : x
  2. Step 2: Convert to fraction form
    9,272.25/12,795.75 = 5,080.50/x
  3. Step 3: Cross multiply
    9,272.25x = 12,795.75 × 5,080.50
  4. Step 4: Simplify right side
    9,272.25x = 65,008,807.88
  5. Step 5: Solve for x
    x = 65,008,807.88/9,272.25
  6. Step 6: Final answer
    x = 7,011.11

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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.