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Finding the Fourth Proportional to 9,207.42, 12,705.82 and 5,228.47

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Solution

The fourth proportional to 9,207.42, 12,705.82 and 5,228.47 is: 7,215.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.42 : 12,705.82 = 5,228.47 : x
  2. Step 2: Convert to fraction form
    9,207.42/12,705.82 = 5,228.47/x
  3. Step 3: Cross multiply
    9,207.42x = 12,705.82 × 5,228.47
  4. Step 4: Simplify right side
    9,207.42x = 66,431,998.70
  5. Step 5: Solve for x
    x = 66,431,998.70/9,207.42
  6. Step 6: Final answer
    x = 7,215.05

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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.