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Finding the Fourth Proportional to 9,824.87, 13,558.64 and 5,576.12

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Solution

The fourth proportional to 9,824.87, 13,558.64 and 5,576.12 is: 7,695.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.87 : 13,558.64 = 5,576.12 : x
  2. Step 2: Convert to fraction form
    9,824.87/13,558.64 = 5,576.12/x
  3. Step 3: Cross multiply
    9,824.87x = 13,558.64 × 5,576.12
  4. Step 4: Simplify right side
    9,824.87x = 75,604,508.00
  5. Step 5: Solve for x
    x = 75,604,508.00/9,824.87
  6. Step 6: Final answer
    x = 7,695.22

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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.