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Finding the Fourth Proportional to 9,519.36, 13,215.84 and 9,234.24

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Solution

The fourth proportional to 9,519.36, 13,215.84 and 9,234.24 is: 12,820.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519.36 : 13,215.84 = 9,234.24 : x
  2. Step 2: Convert to fraction form
    9,519.36/13,215.84 = 9,234.24/x
  3. Step 3: Cross multiply
    9,519.36x = 13,215.84 × 9,234.24
  4. Step 4: Simplify right side
    9,519.36x = 122,038,238.36
  5. Step 5: Solve for x
    x = 122,038,238.36/9,519.36
  6. Step 6: Final answer
    x = 12,820.00

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.