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Finding the Fourth Proportional to 9,027.05, 12,473.19 and 7,822.78

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Solution

The fourth proportional to 9,027.05, 12,473.19 and 7,822.78 is: 10,809.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.05 : 12,473.19 = 7,822.78 : x
  2. Step 2: Convert to fraction form
    9,027.05/12,473.19 = 7,822.78/x
  3. Step 3: Cross multiply
    9,027.05x = 12,473.19 × 7,822.78
  4. Step 4: Simplify right side
    9,027.05x = 97,574,990.09
  5. Step 5: Solve for x
    x = 97,574,990.09/9,027.05
  6. Step 6: Final answer
    x = 10,809.18

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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.