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Finding the Fourth Proportional to 9,576.16, 13,216.46 and 5,799.76

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Solution

The fourth proportional to 9,576.16, 13,216.46 and 5,799.76 is: 8,004.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,576.16 : 13,216.46 = 5,799.76 : x
  2. Step 2: Convert to fraction form
    9,576.16/13,216.46 = 5,799.76/x
  3. Step 3: Cross multiply
    9,576.16x = 13,216.46 × 5,799.76
  4. Step 4: Simplify right side
    9,576.16x = 76,652,296.05
  5. Step 5: Solve for x
    x = 76,652,296.05/9,576.16
  6. Step 6: Final answer
    x = 8,004.49

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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.