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Finding the Fourth Proportional to 9,282.08, 12,794.34 and 7,262.07

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Solution

The fourth proportional to 9,282.08, 12,794.34 and 7,262.07 is: 10,009.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.08 : 12,794.34 = 7,262.07 : x
  2. Step 2: Convert to fraction form
    9,282.08/12,794.34 = 7,262.07/x
  3. Step 3: Cross multiply
    9,282.08x = 12,794.34 × 7,262.07
  4. Step 4: Simplify right side
    9,282.08x = 92,913,392.68
  5. Step 5: Solve for x
    x = 92,913,392.68/9,282.08
  6. Step 6: Final answer
    x = 10,009.98

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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.