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Finding the Fourth Proportional to 9,204.54, 12,703.74 and 5,226.93

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Solution

The fourth proportional to 9,204.54, 12,703.74 and 5,226.93 is: 7,214.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,204.54 : 12,703.74 = 5,226.93 : x
  2. Step 2: Convert to fraction form
    9,204.54/12,703.74 = 5,226.93/x
  3. Step 3: Cross multiply
    9,204.54x = 12,703.74 × 5,226.93
  4. Step 4: Simplify right side
    9,204.54x = 66,401,540.12
  5. Step 5: Solve for x
    x = 66,401,540.12/9,204.54
  6. Step 6: Final answer
    x = 7,214.00

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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.