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Finding the Fourth Proportional to 9,282.51, 12,807.66 and 5,249.43

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Solution

The fourth proportional to 9,282.51, 12,807.66 and 5,249.43 is: 7,242.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.51 : 12,807.66 = 5,249.43 : x
  2. Step 2: Convert to fraction form
    9,282.51/12,807.66 = 5,249.43/x
  3. Step 3: Cross multiply
    9,282.51x = 12,807.66 × 5,249.43
  4. Step 4: Simplify right side
    9,282.51x = 67,232,914.63
  5. Step 5: Solve for x
    x = 67,232,914.63/9,282.51
  6. Step 6: Final answer
    x = 7,242.97

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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.