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Finding the Fourth Proportional to 9,827.24, 13,562.03 and 5,794.23

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Solution

The fourth proportional to 9,827.24, 13,562.03 and 5,794.23 is: 7,996.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,827.24 : 13,562.03 = 5,794.23 : x
  2. Step 2: Convert to fraction form
    9,827.24/13,562.03 = 5,794.23/x
  3. Step 3: Cross multiply
    9,827.24x = 13,562.03 × 5,794.23
  4. Step 4: Simplify right side
    9,827.24x = 78,581,492.12
  5. Step 5: Solve for x
    x = 78,581,492.12/9,827.24
  6. Step 6: Final answer
    x = 7,996.30

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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.