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Finding the Fourth Proportional to 9,245.74, 12,760.45 and 5,267.22

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Solution

The fourth proportional to 9,245.74, 12,760.45 and 5,267.22 is: 7,269.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,245.74 : 12,760.45 = 5,267.22 : x
  2. Step 2: Convert to fraction form
    9,245.74/12,760.45 = 5,267.22/x
  3. Step 3: Cross multiply
    9,245.74x = 12,760.45 × 5,267.22
  4. Step 4: Simplify right side
    9,245.74x = 67,212,084.28
  5. Step 5: Solve for x
    x = 67,212,084.28/9,245.74
  6. Step 6: Final answer
    x = 7,269.52

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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.