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Finding the Fourth Proportional to 9,798.24, 13,521.34 and 5,321.89

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Solution

The fourth proportional to 9,798.24, 13,521.34 and 5,321.89 is: 7,344.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,798.24 : 13,521.34 = 5,321.89 : x
  2. Step 2: Convert to fraction form
    9,798.24/13,521.34 = 5,321.89/x
  3. Step 3: Cross multiply
    9,798.24x = 13,521.34 × 5,321.89
  4. Step 4: Simplify right side
    9,798.24x = 71,959,084.13
  5. Step 5: Solve for x
    x = 71,959,084.13/9,798.24
  6. Step 6: Final answer
    x = 7,344.09

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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.