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Finding the Fourth Proportional to 9,825.62, 13,563.54 and 5,847.11

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Solution

The fourth proportional to 9,825.62, 13,563.54 and 5,847.11 is: 8,071.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,825.62 : 13,563.54 = 5,847.11 : x
  2. Step 2: Convert to fraction form
    9,825.62/13,563.54 = 5,847.11/x
  3. Step 3: Cross multiply
    9,825.62x = 13,563.54 × 5,847.11
  4. Step 4: Simplify right side
    9,825.62x = 79,307,442.55
  5. Step 5: Solve for x
    x = 79,307,442.55/9,825.62
  6. Step 6: Final answer
    x = 8,071.50

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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.